129:@0.890754:0.963104:0.932133:0.963104:0.932133:0.941283:0.890754:0.941283:0.000000:0.000000:0.000000
Matemática:@0.795130:0.956142:0.879896:0.956142:0.879896:0.943479:0.795130:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.º BG:@0.837761:0.967458:0.879897:0.967458:0.879897:0.954794:0.837761:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cción y expresión:@0.117728:0.262834:0.242599:0.262834:0.242599:0.247470:0.117728:0.247470:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.096132:0.263618:0.108221:0.263618:0.108221:0.246483:0.096132:0.246483:0.000000
3.:@0.096353:0.669759:0.110579:0.669759:0.110579:0.652859:0.096353:0.652859:0.000000:0.000000
  Encontremos el determinante de orden 3 × 3: :@0.110579:0.669759:0.463614:0.669759:0.463614:0.653370:0.110579:0.653370:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  1    4 −3:@0.130854:0.701236:0.203053:0.701236:0.203053:0.684847:0.130854:0.684847:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  3   −2   1   = 1(−2)5 + 3(−1)(−3) + 414 −[4(−2)(−3) + 1(−1)1 + 345]:@0.130835:0.719782:0.623351:0.719575:0.623351:0.703186:0.130835:0.703393:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  4  −1   5:@0.130817:0.738329:0.204141:0.738329:0.204141:0.721940:0.130817:0.721940:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.096320:0.764689:0.100356:0.764689:0.100356:0.748300:0.096320:0.748300:0.000000
 :@0.124813:0.764689:0.128849:0.764689:0.128849:0.748300:0.124813:0.748300:0.000000
 :@0.156629:0.764689:0.160664:0.764689:0.160664:0.748300:0.156629:0.748300:0.000000
 = −10 + 9 + 16 −[24 −1 + 60] = 15 − 83 = −68.:@0.216939:0.764689:0.559177:0.764689:0.559177:0.748300:0.216939:0.748300:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4.:@0.096320:0.788256:0.110547:0.788256:0.110547:0.771355:0.096320:0.771355:0.000000:0.000000
  Resolvamos el siguiente sistema de ecuaciones lineales por la regla de Cramer.:@0.110547:0.788256:0.698477:0.788256:0.698477:0.771867:0.110547:0.771867:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplos paso a paso:@0.096359:0.288041:0.251252:0.288041:0.251252:0.272677:0.096359:0.272677:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.:@0.096359:0.315644:0.110585:0.315644:0.110585:0.298744:0.096359:0.298744:0.000000:0.000000
  Regresemos a nuestro problema inicial. ¿Cuál es el valor del determinante usan-:@0.110585:0.315644:0.712487:0.315644:0.712487:0.299255:0.110585:0.299255:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
do la regla de Sarrus? :@0.124848:0.332241:0.284153:0.332241:0.284153:0.315852:0.124848:0.315852:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Regla de Cramer para sistemas de ecuaciones lineales :@0.096359:0.098100:0.563204:0.098100:0.563204:0.079663:0.096359:0.079663:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Se prueba que::@0.421645:0.120900:0.532082:0.120900:0.532082:0.104511:0.421645:0.104511:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.425572:0.176056:0.433035:0.176056:0.433035:0.159695:0.425572:0.159695:0.000000
b:@0.456460:0.145409:0.465729:0.145409:0.465729:0.129048:0.456460:0.129048:0.000000
b:@0.488340:0.145409:0.497609:0.145409:0.497609:0.129048:0.488340:0.129048:0.000000
b:@0.455354:0.166155:0.464624:0.166155:0.464624:0.149794:0.455354:0.149794:0.000000
d:@0.488027:0.166155:0.497296:0.166155:0.497296:0.149794:0.488027:0.149794:0.000000
ab:@0.458542:0.185960:0.494624:0.185960:0.494624:0.169599:0.458542:0.169599:0.000000:0.000000
cd:@0.459022:0.206705:0.494310:0.206705:0.494310:0.190344:0.459022:0.190344:0.000000:0.000000
=:@0.437769:0.175641:0.447886:0.175641:0.447886:0.158699:0.437769:0.158699:0.000000
1:@0.464208:0.147413:0.469420:0.147413:0.469420:0.137915:0.464208:0.137915:0.000000
2:@0.463792:0.168157:0.469003:0.168157:0.469003:0.158659:0.463792:0.158659:0.000000
y:@0.523183:0.176056:0.530665:0.176056:0.530665:0.159695:0.523183:0.159695:0.000000
ab:@0.553232:0.145409:0.589829:0.145409:0.589829:0.129048:0.553232:0.129048:0.000000:0.000000
cb:@0.553711:0.166155:0.588742:0.166155:0.588742:0.149794:0.553711:0.149794:0.000000:0.000000
ab:@0.555757:0.185960:0.591838:0.185960:0.591838:0.169599:0.555757:0.169599:0.000000:0.000000
cd:@0.556236:0.206705:0.591525:0.206705:0.591525:0.190344:0.556236:0.190344:0.000000:0.000000
=:@0.535381:0.175641:0.545497:0.175641:0.545497:0.158699:0.535381:0.158699:0.000000
1:@0.588308:0.147413:0.593520:0.147413:0.593520:0.137915:0.588308:0.137915:0.000000
2:@0.587892:0.168157:0.593103:0.168157:0.593103:0.158659:0.587892:0.158659:0.000000
Si se tiene un sistema de ecuaciones :@0.096359:0.120900:0.366304:0.120900:0.366304:0.104511:0.096359:0.104511:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lineales, con::@0.096359:0.137496:0.189159:0.137496:0.189159:0.121107:0.096359:0.121107:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ax by b:@0.106149:0.159560:0.183361:0.159560:0.183361:0.144167:0.106149:0.144167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cx dy b:@0.105651:0.180320:0.181684:0.180320:0.181684:0.164926:0.105651:0.164926:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+ :@0.126935:0.159145:0.105467:0.160404:0.105467:0.143462:0.126935:0.142203:0.000000:0.000000:0.000000
=:@0.161063:0.159145:0.137052:0.159145:0.137052:0.142203:0.161063:0.142203:0.000000
+:@0.125001:0.179905:0.100713:0.179905:0.100713:0.162963:0.125001:0.162963:0.000000
=:@0.159405:0.179905:0.135117:0.179905:0.135117:0.162963:0.159405:0.162963:0.000000
:@0.096364:0.171883:0.105467:0.171883:0.105467:0.154941:0.096364:0.154941:0.000000
:@0.096364:0.183390:0.105467:0.183390:0.105467:0.166448:0.096364:0.166448:0.000000
1:@0.181850:0.161573:0.187061:0.161573:0.187061:0.152492:0.181850:0.152492:0.000000
2:@0.180579:0.182541:0.185791:0.182541:0.185791:0.173460:0.180579:0.173460:0.000000
A:@0.096838:0.217472:0.106733:0.217472:0.106733:0.202078:0.096838:0.202078:0.000000
ab:@0.126249:0.207099:0.162330:0.207099:0.162330:0.191706:0.126249:0.191706:0.000000:0.000000
cd:@0.126728:0.227858:0.162017:0.227858:0.162017:0.212465:0.126728:0.212465:0.000000:0.000000
B:@0.177606:0.217472:0.186452:0.217472:0.186452:0.202078:0.177606:0.202078:0.000000
b:@0.207607:0.207099:0.216876:0.207099:0.216876:0.191706:0.207607:0.191706:0.000000
b:@0.206501:0.227858:0.215770:0.227858:0.215770:0.212465:0.206501:0.212465:0.000000
A:@0.278277:0.217472:0.288172:0.217472:0.288172:0.202078:0.278277:0.202078:0.000000
=:@0.109866:0.217057:0.119983:0.217057:0.119983:0.200115:0.109866:0.200115:0.000000
=:@0.190373:0.217057:0.200490:0.217057:0.200490:0.200115:0.190373:0.200115:0.000000
():@0.270120:0.218797:0.295163:0.218797:0.295163:0.197144:0.270120:0.197144:0.000000:0.000000
≠:@0.298338:0.217057:0.308454:0.217057:0.308454:0.200115:0.298338:0.200115:0.000000
, :@0.167870:0.217472:0.177618:0.217472:0.177618:0.201802:0.167870:0.201802:0.000000:0.000000
 y det:@0.227557:0.217472:0.268301:0.217472:0.268301:0.201802:0.227557:0.201802:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.215348:0.209113:0.220560:0.209113:0.220560:0.200031:0.215348:0.200031:0.000000
2:@0.214942:0.229848:0.220154:0.229848:0.220154:0.220767:0.214942:0.220767:0.000000
0:@0.311688:0.217472:0.320680:0.217472:0.320680:0.201802:0.311688:0.201802:0.000000
Paso 1.:@0.102121:0.355767:0.154372:0.355767:0.154372:0.340189:0.102121:0.340189:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Planteamos el :@0.102121:0.370855:0.199235:0.370855:0.199235:0.355956:0.102121:0.355956:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
determinante.:@0.102121:0.385942:0.196352:0.385942:0.196352:0.371043:0.102121:0.371043:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.102509:0.421430:0.110524:0.421430:0.110524:0.408962:0.102509:0.408962:0.000000
=:@0.113077:0.421094:0.121271:0.421094:0.121271:0.407371:0.113077:0.407371:0.000000
42 5:@0.126600:0.404616:0.176081:0.404616:0.176081:0.391924:0.126600:0.391924:0.000000:0.000000:0.000000:0.000000
36 1:@0.126138:0.421430:0.175141:0.421430:0.175141:0.408738:0.126138:0.408738:0.000000:0.000000:0.000000:0.000000
70 4:@0.125869:0.438223:0.176544:0.438223:0.176544:0.425531:0.125869:0.425531:0.000000:0.000000:0.000000:0.000000
Paso 2.:@0.245707:0.355767:0.297957:0.355767:0.297957:0.340189:0.245707:0.340189:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Reescribimos las :@0.301341:0.355767:0.414787:0.355767:0.414787:0.340868:0.301341:0.340868:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dos primeras columnas al :@0.245707:0.370855:0.419645:0.370855:0.419645:0.355956:0.245707:0.355956:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lado derecho para aplicar el :@0.245707:0.385942:0.433719:0.385942:0.433719:0.371043:0.245707:0.371043:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
método de Sarrus::@0.245707:0.401030:0.367579:0.401030:0.367579:0.386131:0.245707:0.386131:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.248957:0.442325:0.257863:0.442325:0.257863:0.427600:0.248957:0.427600:0.000000
=:@0.260682:0.441951:0.269787:0.441951:0.269787:0.426703:0.260682:0.426703:0.000000
42 5:@0.275708:0.423654:0.330687:0.423654:0.330687:0.408904:0.275708:0.408904:0.000000:0.000000:0.000000:0.000000
36 1:@0.275194:0.442325:0.329642:0.442325:0.329642:0.427575:0.275194:0.427575:0.000000:0.000000:0.000000:0.000000
70 4:@0.274895:0.460996:0.331184:0.460996:0.331184:0.446246:0.274895:0.446246:0.000000:0.000000:0.000000:0.000000
42:@0.346958:0.423654:0.378370:0.423654:0.378370:0.408904:0.346958:0.408904:0.000000:0.000000
36:@0.346444:0.442325:0.378619:0.442325:0.378619:0.427575:0.346444:0.427575:0.000000:0.000000
70:@0.346162:0.460996:0.378386:0.460996:0.378386:0.446246:0.346162:0.446246:0.000000:0.000000
Paso 3.:@0.458211:0.355767:0.510461:0.355767:0.510461:0.340189:0.458211:0.340189:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Sumamos los productos :@0.510461:0.355767:0.679540:0.355767:0.679540:0.340868:0.510461:0.340868:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de las diagonales principales.:@0.458211:0.370855:0.651882:0.370855:0.651882:0.355956:0.458211:0.355956:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.461462:0.412150:0.470368:0.412150:0.470368:0.397424:0.461462:0.397424:0.000000
=:@0.473188:0.411776:0.482293:0.411776:0.482293:0.396528:0.473188:0.396528:0.000000
42 5:@0.488214:0.393479:0.543193:0.393479:0.543193:0.378729:0.488214:0.378729:0.000000:0.000000:0.000000:0.000000
36 1:@0.487700:0.412150:0.542148:0.412150:0.542148:0.397400:0.487700:0.397400:0.000000:0.000000:0.000000:0.000000
70 4:@0.487401:0.430820:0.543690:0.430820:0.543690:0.416070:0.487401:0.416070:0.000000:0.000000:0.000000:0.000000
42:@0.559464:0.393479:0.590876:0.393479:0.590876:0.378729:0.559464:0.378729:0.000000:0.000000
36:@0.558950:0.412150:0.591124:0.412150:0.591124:0.397400:0.558950:0.397400:0.000000:0.000000
70:@0.558668:0.430820:0.590892:0.430820:0.590892:0.416070:0.558668:0.416070:0.000000:0.000000
1.:@0.458211:0.457280:0.470272:0.457280:0.470272:0.442168:0.458211:0.442168:0.000000:0.000000
 4   6   4 = 96:@0.470272:0.457280:0.555391:0.457280:0.555391:0.442381:0.470272:0.442381:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
· ·:@0.485953:0.457280:0.509708:0.457280:0.509708:0.441916:0.485953:0.441916:0.000000:0.000000:0.000000
2.:@0.458211:0.472368:0.470272:0.472368:0.470272:0.457255:0.458211:0.457255:0.000000:0.000000
 2   1   7 = 14:@0.470272:0.472368:0.555391:0.472368:0.555391:0.457469:0.470272:0.457469:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
· ·:@0.485953:0.472368:0.509708:0.472368:0.509708:0.457004:0.485953:0.457004:0.000000:0.000000:0.000000
3.:@0.458211:0.487456:0.470272:0.487456:0.470272:0.472343:0.458211:0.472343:0.000000:0.000000
 5   3   0 = 0:@0.470272:0.487456:0.547216:0.487456:0.547216:0.472557:0.470272:0.472557:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
· ·:@0.485953:0.487456:0.509708:0.487456:0.509708:0.472091:0.485953:0.472091:0.000000:0.000000:0.000000
Suma de diagonales principales::@0.458211:0.502543:0.672655:0.502543:0.672655:0.487644:0.458211:0.487644:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
96 + 14 + 0 = 110 :@0.458211:0.517631:0.579247:0.517631:0.579247:0.502732:0.458211:0.502732:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 4.:@0.695642:0.355766:0.747893:0.355766:0.747893:0.340188:0.695642:0.340188:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Sumamos los productos :@0.747893:0.355766:0.916972:0.355766:0.916972:0.340867:0.747893:0.340867:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de las diagonales secundarias.:@0.695642:0.370853:0.895629:0.370853:0.895629:0.355954:0.695642:0.355954:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.698897:0.412150:0.707804:0.412150:0.707804:0.397424:0.698897:0.397424:0.000000
=:@0.710623:0.411776:0.719728:0.411776:0.719728:0.396528:0.710623:0.396528:0.000000
42 5:@0.725649:0.393479:0.780628:0.393479:0.780628:0.378729:0.725649:0.378729:0.000000:0.000000:0.000000:0.000000
36 1:@0.725135:0.412150:0.779583:0.412150:0.779583:0.397400:0.725135:0.397400:0.000000:0.000000:0.000000:0.000000
70 4:@0.724836:0.430820:0.781125:0.430820:0.781125:0.416070:0.724836:0.416070:0.000000:0.000000:0.000000:0.000000
42:@0.796899:0.393479:0.828311:0.393479:0.828311:0.378729:0.796899:0.378729:0.000000:0.000000
36:@0.796385:0.412150:0.828559:0.412150:0.828559:0.397400:0.796385:0.397400:0.000000:0.000000
70:@0.796103:0.430820:0.828327:0.430820:0.828327:0.416070:0.796103:0.416070:0.000000:0.000000
1.:@0.695646:0.457280:0.707708:0.457280:0.707708:0.442168:0.695646:0.442168:0.000000:0.000000
 5   6   7 = 210 :@0.707708:0.457280:0.804670:0.457280:0.804670:0.442381:0.707708:0.442381:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
· ·:@0.723388:0.457280:0.747143:0.457280:0.747143:0.441916:0.723388:0.441916:0.000000:0.000000:0.000000
2.:@0.695646:0.472368:0.707708:0.472368:0.707708:0.457255:0.695646:0.457255:0.000000:0.000000
 4   1   0= 0:@0.707708:0.472368:0.780983:0.472368:0.780983:0.457469:0.707708:0.457469:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
· ·:@0.723388:0.472368:0.747143:0.472368:0.747143:0.457004:0.723388:0.457004:0.000000:0.000000:0.000000
3.:@0.695646:0.487456:0.707708:0.487456:0.707708:0.472343:0.695646:0.472343:0.000000:0.000000
 2   3   4 =24:@0.707708:0.487456:0.789158:0.487456:0.789158:0.472557:0.707708:0.472557:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
· ·:@0.723388:0.487456:0.747143:0.487456:0.747143:0.472091:0.723388:0.472091:0.000000:0.000000:0.000000
Suma de diagonales secundarias::@0.695646:0.502543:0.916406:0.502543:0.916406:0.487644:0.695646:0.487644:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
210 + 0 + 24= 234:@0.695646:0.517631:0.817519:0.517631:0.817519:0.502732:0.695646:0.502732:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 5.:@0.102125:0.539307:0.154376:0.539307:0.154376:0.523729:0.102125:0.523729:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Restamos las sumas de las diagonales. :@0.154376:0.539307:0.414886:0.539307:0.414886:0.524408:0.154376:0.524408:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
det( ) = 110 – 234 = − 124:@0.102125:0.561523:0.280002:0.561523:0.280002:0.546624:0.102125:0.546624:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.128979:0.561523:0.137975:0.561523:0.137975:0.546649:0.128979:0.546649:0.000000
El determinante de la matriz es: −124:@0.458214:0.539307:0.705024:0.539307:0.705024:0.524408:0.458214:0.524408:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Practica la paciencia :@0.754293:0.680082:0.891981:0.680082:0.891981:0.665183:0.754293:0.665183:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y el autocontrol cuando :@0.754293:0.695169:0.917241:0.695169:0.917241:0.680270:0.754293:0.680270:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
enfrentes ejercicios :@0.754293:0.710257:0.886132:0.710257:0.886132:0.695358:0.754293:0.695358:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
complejos, como resolver :@0.754293:0.725344:0.928935:0.725344:0.928935:0.710445:0.754293:0.710445:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
determinantes. En lugar :@0.754293:0.740432:0.916655:0.740432:0.916655:0.725533:0.754293:0.725533:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de frustrarte, respira :@0.754293:0.755520:0.890488:0.755520:0.890488:0.740621:0.754293:0.740621:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
profundo, revisa tus pasos :@0.754293:0.770607:0.931047:0.770607:0.931047:0.755708:0.754293:0.755708:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y aprende del error.:@0.754293:0.785695:0.883368:0.785695:0.883368:0.770796:0.754293:0.770796:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cómo cambia tu actitud :@0.754293:0.804341:0.918801:0.804341:0.918801:0.789467:0.754293:0.789467:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuando decides ver los :@0.754293:0.819428:0.899350:0.819428:0.899350:0.804554:0.754293:0.804554:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
errores como oportunidades :@0.754293:0.834516:0.930394:0.834516:0.930394:0.819642:0.754293:0.819642:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para crecer?:@0.754293:0.849604:0.830380:0.849604:0.830380:0.834730:0.754293:0.834730:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
     Socioemocional:@0.759543:0.647641:0.898315:0.647641:0.898315:0.630740:0.759543:0.630740:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2.:@0.096359:0.592597:0.110585:0.592597:0.110585:0.575697:0.096359:0.575697:0.000000:0.000000
  Calculemos los siguientes determinantes::@0.110585:0.592597:0.424574:0.592597:0.424574:0.576208:0.110585:0.576208:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sea   = :@0.124848:0.630105:0.183780:0.630105:0.183780:0.613716:0.124848:0.613716:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.154830:0.630105:0.164726:0.630105:0.164726:0.613744:0.154830:0.613744:0.000000
 1:@0.189784:0.621307:0.202812:0.621307:0.202812:0.604918:0.189784:0.604918:0.000000:0.000000
2:@0.221479:0.621307:0.230472:0.621307:0.230472:0.604918:0.221479:0.604918:0.000000
 3 –1 :@0.189784:0.639853:0.239115:0.639853:0.239115:0.623464:0.189784:0.623464:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. Entonces,:@0.244772:0.630103:0.322774:0.630103:0.322774:0.613714:0.244772:0.613714:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
det( ) = :@0.404429:0.630117:0.467801:0.630117:0.467801:0.613728:0.404429:0.613728:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.433968:0.630117:0.443864:0.630117:0.443864:0.613755:0.433968:0.613755:0.000000
 1:@0.473806:0.621307:0.486834:0.621307:0.486834:0.604918:0.473806:0.604918:0.000000:0.000000
2:@0.505501:0.621307:0.514494:0.621307:0.514494:0.604918:0.505501:0.604918:0.000000
 3 –1 :@0.473806:0.639853:0.523136:0.639853:0.523136:0.623464:0.473806:0.623464:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 = 1 × (−1) −3 × 2 = −7:@0.528794:0.630130:0.693039:0.630130:0.693039:0.613741:0.528794:0.613741:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.134811:0.811058:0.143174:0.811058:0.143174:0.796485:0.134811:0.796485:0.000000
3:@0.166498:0.811058:0.174862:0.811058:0.174862:0.796485:0.166498:0.796485:0.000000
1:@0.198255:0.811058:0.206618:0.811058:0.206618:0.796485:0.198255:0.796485:0.000000
2:@0.194603:0.830364:0.202967:0.830364:0.202967:0.815791:0.194603:0.815791:0.000000
x:@0.143927:0.811058:0.150868:0.811058:0.150868:0.796742:0.143927:0.796742:0.000000
y:@0.175872:0.811058:0.182830:0.811058:0.182830:0.796742:0.175872:0.796742:0.000000
xy:@0.137399:0.830364:0.168212:0.830364:0.168212:0.816048:0.137399:0.816048:0.000000:0.000000
+:@0.154691:0.810672:0.131572:0.810672:0.131572:0.794916:0.154691:0.794916:0.000000
=:@0.187218:0.810672:0.164099:0.810672:0.164099:0.794916:0.187218:0.794916:0.000000
−= −:@0.148161:0.829978:0.194672:0.829978:0.194672:0.814222:0.148161:0.814222:0.000000:0.000000:0.000000:0.000000
:@0.123980:0.810603:0.132446:0.810603:0.132446:0.795595:0.123980:0.795595:0.000000
:@0.123980:0.823063:0.132446:0.823063:0.132446:0.808055:0.123980:0.808055:0.000000
:@0.123980:0.834579:0.132446:0.834579:0.132446:0.819571:0.123980:0.819571:0.000000
x:@0.351232:0.868351:0.358172:0.868351:0.358172:0.853135:0.351232:0.853135:0.000000
=:@0.362577:0.867965:0.371985:0.867965:0.371985:0.852209:0.362577:0.852209:0.000000
−:@0.379474:0.858755:0.388883:0.858755:0.388883:0.842999:0.379474:0.842999:0.000000
−:@0.412927:0.858755:0.422336:0.858755:0.422336:0.842999:0.412927:0.842999:0.000000
−:@0.407957:0.896467:0.417366:0.896467:0.417366:0.880711:0.407957:0.880711:0.000000
=:@0.435172:0.867965:0.444581:0.867965:0.444581:0.852209:0.435172:0.852209:0.000000
−− −:@0.449191:0.858717:0.494674:0.858717:0.494674:0.842961:0.449191:0.842961:0.000000:0.000000:0.000000:0.000000
( ):@0.478158:0.860346:0.509760:0.860346:0.509760:0.840210:0.478158:0.840210:0.000000:0.000000:0.000000
−:@0.470855:0.878049:0.480264:0.878049:0.480264:0.862293:0.470855:0.862293:0.000000
=−:@0.514094:0.867966:0.536167:0.867966:0.536167:0.852209:0.514094:0.852209:0.000000:0.000000
1:@0.384533:0.839849:0.392896:0.839849:0.392896:0.824607:0.384533:0.824607:0.000000
3:@0.416135:0.839849:0.424498:0.839849:0.424498:0.824607:0.416135:0.824607:0.000000
2:@0.388817:0.859142:0.397180:0.859142:0.397180:0.843900:0.388817:0.843900:0.000000
1:@0.422270:0.859142:0.430633:0.859142:0.430633:0.843900:0.422270:0.843900:0.000000
2:@0.383847:0.877561:0.392210:0.877561:0.392210:0.862319:0.383847:0.862319:0.000000
3:@0.411165:0.877561:0.419528:0.877561:0.419528:0.862319:0.411165:0.862319:0.000000
1:@0.384533:0.896854:0.392896:0.896854:0.392896:0.881612:0.384533:0.881612:0.000000
1:@0.417300:0.896854:0.425663:0.896854:0.425663:0.881612:0.417300:0.881612:0.000000
1:@0.458533:0.859103:0.466897:0.859103:0.466897:0.843862:0.458533:0.843862:0.000000
6:@0.494608:0.859103:0.502971:0.859103:0.502971:0.843862:0.494608:0.843862:0.000000
5:@0.480196:0.878435:0.488559:0.878435:0.488559:0.863194:0.480196:0.863194:0.000000
1:@0.536096:0.868351:0.544459:0.868351:0.544459:0.853109:0.536096:0.853109:0.000000
y:@0.559275:0.868351:0.566233:0.868351:0.566233:0.853135:0.559275:0.853135:0.000000
=:@0.570620:0.867965:0.580028:0.867965:0.580028:0.852209:0.570620:0.852209:0.000000
−:@0.611082:0.858755:0.620491:0.858755:0.620491:0.842999:0.611082:0.842999:0.000000
−:@0.612247:0.896467:0.621656:0.896467:0.621656:0.880711:0.612247:0.880711:0.000000
=:@0.635709:0.867965:0.645117:0.867965:0.645117:0.852209:0.635709:0.852209:0.000000
−−:@0.649727:0.858717:0.679496:0.858717:0.679496:0.842961:0.649727:0.842961:0.000000:0.000000
():@0.681624:0.860346:0.699362:0.860346:0.699362:0.840210:0.681624:0.840210:0.000000:0.000000
−:@0.665947:0.878049:0.675356:0.878049:0.675356:0.862293:0.665947:0.862293:0.000000
=:@0.703684:0.867966:0.713093:0.867966:0.713093:0.852209:0.703684:0.852209:0.000000
2:@0.586977:0.839849:0.595340:0.839849:0.595340:0.824607:0.586977:0.824607:0.000000
1:@0.616145:0.839849:0.624508:0.839849:0.624508:0.824607:0.616145:0.824607:0.000000
1:@0.587662:0.859142:0.596025:0.859142:0.596025:0.843900:0.587662:0.843900:0.000000
2:@0.620429:0.859142:0.628793:0.859142:0.628793:0.843900:0.620429:0.843900:0.000000
2:@0.588142:0.877561:0.596505:0.877561:0.596505:0.862319:0.588142:0.862319:0.000000
3:@0.615459:0.877561:0.623823:0.877561:0.623823:0.862319:0.615459:0.862319:0.000000
1:@0.588827:0.896854:0.597191:0.896854:0.597191:0.881612:0.588827:0.881612:0.000000
1:@0.621595:0.896854:0.629958:0.896854:0.629958:0.881612:0.621595:0.881612:0.000000
4:@0.659075:0.859103:0.667438:0.859103:0.667438:0.843862:0.659075:0.843862:0.000000
1:@0.687112:0.859103:0.695475:0.859103:0.695475:0.843862:0.687112:0.843862:0.000000
5:@0.675287:0.878435:0.683650:0.878435:0.683650:0.863194:0.675287:0.863194:0.000000
1:@0.714721:0.868351:0.723084:0.868351:0.723084:0.853110:0.714721:0.853110:0.000000
det:@0.126317:0.868351:0.149230:0.868351:0.149230:0.853109:0.126317:0.853109:0.000000:0.000000:0.000000
A:@0.158485:0.868351:0.167688:0.868351:0.167688:0.853135:0.158485:0.853135:0.000000
():@0.150905:0.869591:0.174195:0.869591:0.174195:0.849455:0.150905:0.849455:0.000000:0.000000
=:@0.177147:0.867965:0.186556:0.867965:0.186556:0.852209:0.177147:0.852209:0.000000
−:@0.216238:0.877611:0.225647:0.877611:0.225647:0.861855:0.216238:0.861855:0.000000
=− −:@0.237129:0.867965:0.279014:0.867965:0.279014:0.852209:0.237129:0.852209:0.000000:0.000000:0.000000:0.000000
():@0.281141:0.869591:0.302323:0.869591:0.302323:0.849455:0.281141:0.849455:0.000000:0.000000
=−:@0.305290:0.867965:0.327363:0.867965:0.327363:0.852209:0.305290:0.852209:0.000000:0.000000
2:@0.192147:0.858704:0.200510:0.858704:0.200510:0.843462:0.192147:0.843462:0.000000
3:@0.219464:0.858704:0.227827:0.858704:0.227827:0.843462:0.219464:0.843462:0.000000
1:@0.192832:0.877997:0.201195:0.877997:0.201195:0.862755:0.192832:0.862755:0.000000
1:@0.225600:0.877997:0.233963:0.877997:0.233963:0.862755:0.225600:0.862755:0.000000
2:@0.259138:0.868351:0.267501:0.868351:0.267501:0.853109:0.259138:0.853109:0.000000
3:@0.287724:0.868351:0.296087:0.868351:0.296087:0.853109:0.287724:0.853109:0.000000
5:@0.327295:0.868351:0.335658:0.868351:0.335658:0.853109:0.327295:0.853109:0.000000
Solución:   = –1   = 1:@0.335675:0.917111:0.480214:0.917111:0.480214:0.901869:0.335675:0.901869:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.401827:0.917111:0.408767:0.917111:0.408767:0.901895:0.401827:0.901895:0.000000
y:@0.447173:0.917111:0.454131:0.917111:0.454131:0.901895:0.447173:0.901895:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000