17:@0.921900:0.510692:0.940807:0.510692:0.940807:0.494068:0.921900:0.494068:0.000000:0.000000 3. :@0.514437:0.563974:0.533178:0.563974:0.533178:0.546838:0.514437:0.546838:0.000000:0.000000:0.000000 Resuelve:@0.547680:0.563974:0.615842:0.563974:0.615842:0.547350:0.547680:0.547350:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 los siguientes sistemas de ecuacio-:@0.615842:0.563974:0.884648:0.563974:0.884648:0.547585:0.615842:0.547585:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 nes lineales por el método de Cramer.:@0.547680:0.580570:0.824845:0.580570:0.824845:0.564181:0.547680:0.564181:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a) :@0.547680:0.615464:0.566403:0.615464:0.566403:0.598563:0.547680:0.598563:0.000000:0.000000:0.000000 x:@0.592367:0.605206:0.599830:0.605206:0.599830:0.588844:0.592367:0.588844:0.000000 + 3 = 1:@0.599830:0.605206:0.663406:0.605206:0.663406:0.588817:0.599830:0.588817:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y:@0.627877:0.605206:0.635359:0.605206:0.635359:0.588844:0.627877:0.588844:0.000000 2 – = –4:@0.592367:0.626159:0.670851:0.626159:0.670851:0.609770:0.592367:0.609770:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x y:@0.601360:0.626159:0.633590:0.626159:0.633590:0.609797:0.601360:0.609797:0.000000:0.000000:0.000000 :@0.547680:0.728918:0.551495:0.728918:0.551495:0.712017:0.547680:0.712017:0.000000 b) :@0.547679:0.773903:0.567709:0.773903:0.567709:0.757002:0.547679:0.757002:0.000000:0.000000:0.000000 x:@0.592367:0.752296:0.599830:0.752296:0.599830:0.735935:0.592367:0.735935:0.000000 + 2 – = 1:@0.599830:0.752296:0.687933:0.752296:0.687933:0.735907:0.599830:0.735907:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y z:@0.627877:0.752296:0.659886:0.752296:0.659886:0.735935:0.627877:0.735935:0.000000:0.000000:0.000000 2 + = 4:@0.592367:0.773249:0.663166:0.773249:0.663166:0.756860:0.592367:0.756860:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.601360:0.773249:0.608823:0.773249:0.608823:0.756888:0.601360:0.756888:0.000000 z:@0.627877:0.773249:0.635119:0.773249:0.635119:0.756888:0.627877:0.756888:0.000000 – – = 2:@0.592367:0.794202:0.660918:0.794202:0.660918:0.777813:0.592367:0.777813:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y z:@0.601581:0.794202:0.632871:0.794202:0.632871:0.777841:0.601581:0.777841:0.000000:0.000000:0.000000:0.000000 :@0.547680:0.916268:0.551495:0.916268:0.551495:0.899368:0.547680:0.899368:0.000000 2. :@0.120102:0.687957:0.138843:0.687957:0.138843:0.670822:0.120102:0.670822:0.000000:0.000000:0.000000 Calcula:@0.153346:0.687957:0.208776:0.687957:0.208776:0.671333:0.153346:0.671333:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 el determinante de las matrices de :@0.208776:0.687957:0.497920:0.687957:0.497920:0.671568:0.208776:0.671568:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.493870:0.687957:0.497906:0.687957:0.497906:0.671568:0.493870:0.671568:0.000000 tercer orden.:@0.153346:0.704554:0.246811:0.704554:0.246811:0.688165:0.153346:0.688165:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a) :@0.153346:0.755380:0.172068:0.755380:0.172068:0.738480:0.153346:0.738480:0.000000:0.000000:0.000000 A:@0.186589:0.755380:0.196485:0.755380:0.196485:0.739019:0.186589:0.739019:0.000000 = :@0.196485:0.755380:0.219575:0.755380:0.219575:0.738991:0.196485:0.738991:0.000000:0.000000:0.000000:0.000000 –1:@0.223779:0.730354:0.241986:0.730354:0.241986:0.713965:0.223779:0.713965:0.000000:0.000000 2 0 :@0.264431:0.730354:0.314036:0.730354:0.314036:0.713965:0.264431:0.713965:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 0:@0.223779:0.751403:0.240843:0.751403:0.240843:0.735014:0.223779:0.735014:0.000000:0.000000:0.000000 3 1:@0.264431:0.751403:0.306851:0.751403:0.306851:0.735014:0.264431:0.735014:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 3:@0.223779:0.771015:0.240843:0.771015:0.240843:0.754626:0.223779:0.754626:0.000000:0.000000:0.000000 0 4:@0.264431:0.771015:0.306851:0.771015:0.306851:0.754626:0.264431:0.754626:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.153331:0.849751:0.157145:0.849751:0.157145:0.832850:0.153331:0.832850:0.000000 b) :@0.153344:0.900586:0.173375:0.900586:0.173375:0.883685:0.153344:0.883685:0.000000:0.000000:0.000000 A:@0.186587:0.900586:0.196483:0.900586:0.196483:0.884225:0.186587:0.884225:0.000000 = :@0.196483:0.900586:0.219573:0.900586:0.219573:0.884197:0.196483:0.884197:0.000000:0.000000:0.000000:0.000000 3:@0.223779:0.875558:0.236808:0.875558:0.236808:0.859169:0.223779:0.859169:0.000000:0.000000 0 –2 :@0.264431:0.875558:0.317484:0.875558:0.317484:0.859169:0.264431:0.859169:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.223779:0.896608:0.236808:0.896608:0.236808:0.880219:0.223779:0.880219:0.000000:0.000000 –1 3:@0.261851:0.896608:0.310905:0.896608:0.310905:0.880219:0.261851:0.880219:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 0:@0.223798:0.916219:0.236826:0.916219:0.236826:0.899830:0.223798:0.899830:0.000000:0.000000 0 5:@0.264449:0.916219:0.310905:0.916219:0.310905:0.899830:0.264449:0.899830:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1. :@0.119000:0.172024:0.137741:0.172024:0.137741:0.154888:0.119000:0.154888:0.000000:0.000000:0.000000 Calcula:@0.152243:0.172024:0.207674:0.172024:0.207674:0.155400:0.152243:0.155400:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 los determinantes de la matrices en cada :@0.207674:0.172024:0.518251:0.172024:0.518251:0.155635:0.207674:0.155635:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 caso.:@0.152243:0.188620:0.188380:0.188620:0.188380:0.172231:0.152243:0.172231:0.000000:0.000000:0.000000:0.000000:0.000000 a) :@0.152243:0.214635:0.170966:0.214635:0.170966:0.197734:0.152243:0.197734:0.000000:0.000000:0.000000 A:@0.185487:0.214635:0.195382:0.214635:0.195382:0.198274:0.185487:0.198274:0.000000 = :@0.195382:0.214635:0.214437:0.214635:0.214437:0.198246:0.195382:0.198246:0.000000:0.000000:0.000000 –1 5:@0.220414:0.205838:0.269837:0.205838:0.269837:0.189449:0.220414:0.189449:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2 0 :@0.220414:0.224384:0.273872:0.224384:0.273872:0.207995:0.220414:0.207995:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.280156:0.214634:0.284192:0.214634:0.284192:0.198245:0.280156:0.198245:0.000000 :@0.152232:0.301461:0.156046:0.301461:0.156046:0.284560:0.152232:0.284560:0.000000 b) :@0.152223:0.334617:0.172254:0.334617:0.172254:0.317716:0.152223:0.317716:0.000000:0.000000:0.000000 A:@0.185467:0.334617:0.195362:0.334617:0.195362:0.318256:0.185467:0.318256:0.000000 = :@0.195362:0.334617:0.214416:0.334617:0.214416:0.318228:0.195362:0.318228:0.000000:0.000000:0.000000 2:@0.220414:0.325819:0.233442:0.325819:0.233442:0.309431:0.220414:0.309431:0.000000:0.000000 0:@0.252773:0.325819:0.269837:0.325819:0.269837:0.309431:0.252773:0.309431:0.000000:0.000000:0.000000 2:@0.220414:0.344366:0.233442:0.344366:0.233442:0.327977:0.220414:0.327977:0.000000:0.000000 0 :@0.252773:0.344366:0.273872:0.344366:0.273872:0.327977:0.252773:0.327977:0.000000:0.000000:0.000000:0.000000 :@0.280156:0.334616:0.284192:0.334616:0.284192:0.318227:0.280156:0.318227:0.000000 :@0.152232:0.421442:0.156046:0.421442:0.156046:0.404542:0.152232:0.404542:0.000000 c) :@0.152223:0.454597:0.169858:0.454597:0.169858:0.437697:0.152223:0.437697:0.000000:0.000000:0.000000 A:@0.185467:0.454597:0.195362:0.454597:0.195362:0.438236:0.185467:0.438236:0.000000 = :@0.195362:0.454597:0.214416:0.454597:0.214416:0.438208:0.195362:0.438208:0.000000:0.000000:0.000000 –1 2:@0.220414:0.445800:0.269837:0.445800:0.269837:0.429411:0.220414:0.429411:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2 –1 :@0.220414:0.464346:0.276452:0.464346:0.276452:0.447957:0.220414:0.447957:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.280156:0.454596:0.284192:0.454596:0.284192:0.438207:0.280156:0.438207:0.000000 :@0.152232:0.541423:0.156046:0.541423:0.156046:0.524522:0.152232:0.524522:0.000000 d) :@0.152223:0.574579:0.172291:0.574579:0.172291:0.557678:0.152223:0.557678:0.000000:0.000000:0.000000 A:@0.185467:0.574579:0.195362:0.574579:0.195362:0.558218:0.185467:0.558218:0.000000 = :@0.195362:0.574579:0.214416:0.574579:0.214416:0.558190:0.195362:0.558190:0.000000:0.000000:0.000000 2:@0.220414:0.565782:0.233442:0.565782:0.233442:0.549393:0.220414:0.549393:0.000000:0.000000 2:@0.252773:0.565782:0.269837:0.565782:0.269837:0.549393:0.252773:0.549393:0.000000:0.000000:0.000000 –1 –1 :@0.220414:0.584328:0.276452:0.584328:0.276452:0.567939:0.220414:0.567939:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.280156:0.574578:0.284192:0.574578:0.284192:0.558189:0.280156:0.558189:0.000000 :@0.152232:0.661404:0.156046:0.661404:0.156046:0.644504:0.152232:0.644504:0.000000 Taller:@0.181292:0.130781:0.242187:0.130781:0.242187:0.096834:0.181292:0.096834:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 I.M.5.2.2. Opera con matrices de hasta tercer orden, calcula el determinante, la matriz inversa y las aplica en sistemas de ecuaciones. :@0.262313:0.113525:0.883226:0.113525:0.883226:0.103096:0.262313:0.103096:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 (I.3.):@0.262313:0.124087:0.280806:0.124087:0.280806:0.113657:0.262313:0.113657:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.547679:0.228826:0.551493:0.228826:0.551493:0.211926:0.547679:0.211926:0.000000 c) :@0.547679:0.279655:0.565314:0.279655:0.565314:0.262755:0.547679:0.262755:0.000000:0.000000:0.000000 A:@0.580922:0.279655:0.590818:0.279655:0.590818:0.263294:0.580922:0.263294:0.000000 = :@0.590818:0.279655:0.613908:0.279655:0.613908:0.263266:0.590818:0.263266:0.000000:0.000000:0.000000:0.000000 1:@0.618114:0.254626:0.631142:0.254626:0.631142:0.238237:0.618114:0.238237:0.000000:0.000000 2 3 :@0.658765:0.254626:0.711061:0.254626:0.711061:0.238237:0.658765:0.238237:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 4:@0.618114:0.275676:0.631142:0.275676:0.631142:0.259287:0.618114:0.259287:0.000000:0.000000 5 1:@0.658765:0.275676:0.705221:0.275676:0.705221:0.259287:0.658765:0.259287:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 7:@0.618114:0.295287:0.631142:0.295287:0.631142:0.278898:0.618114:0.278898:0.000000:0.000000 8 –2:@0.658765:0.295287:0.706364:0.295287:0.706364:0.278898:0.658765:0.278898:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.547665:0.374023:0.551480:0.374023:0.551480:0.357123:0.547665:0.357123:0.000000 d) :@0.547679:0.424860:0.567746:0.424860:0.567746:0.407959:0.547679:0.407959:0.000000:0.000000:0.000000 A:@0.580922:0.424860:0.590818:0.424860:0.590818:0.408498:0.580922:0.408498:0.000000 = :@0.590818:0.424860:0.613908:0.424860:0.613908:0.408471:0.590818:0.408471:0.000000:0.000000:0.000000:0.000000 7:@0.618114:0.399831:0.631142:0.399831:0.631142:0.383442:0.618114:0.383442:0.000000:0.000000 –1 –2 :@0.656186:0.399831:0.711837:0.399831:0.711837:0.383442:0.656186:0.383442:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 –1:@0.618132:0.420880:0.636339:0.420880:0.636339:0.404491:0.618132:0.404491:0.000000:0.000000 –1 4:@0.656204:0.420880:0.705258:0.420880:0.705258:0.404491:0.656204:0.404491:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.618151:0.440492:0.631179:0.440492:0.631179:0.424103:0.618151:0.424103:0.000000:0.000000 –1 5:@0.656222:0.440492:0.705277:0.440492:0.705277:0.424103:0.656222:0.424103:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.547720:0.519228:0.551535:0.519228:0.551535:0.502327:0.547720:0.502327:0.000000 det( ) = –10:@0.194895:0.256906:0.285467:0.256906:0.285467:0.240517:0.194895:0.240517:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 A:@0.224434:0.256906:0.234330:0.256906:0.234330:0.240544:0.224434:0.240544:0.000000 det( ) = –3:@0.194895:0.497885:0.276474:0.497885:0.276474:0.481496:0.194895:0.481496:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 A:@0.224434:0.497885:0.234330:0.497885:0.234330:0.481524:0.224434:0.481524:0.000000 det( ) = 0:@0.194895:0.377976:0.267260:0.377976:0.267260:0.361587:0.194895:0.361587:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 A:@0.224434:0.377976:0.234330:0.377976:0.234330:0.361615:0.224434:0.361615:0.000000 det( ) = 0:@0.194895:0.617711:0.267260:0.617711:0.267260:0.601322:0.194895:0.601322:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 A:@0.224434:0.617711:0.234330:0.617711:0.234330:0.601349:0.224434:0.601349:0.000000 det( ) = –6:@0.194895:0.806840:0.276474:0.806840:0.276474:0.790451:0.194895:0.790451:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 A:@0.224434:0.806840:0.234330:0.806840:0.234330:0.790479:0.224434:0.790479:0.000000 det( ) = –15:@0.593319:0.185514:0.683891:0.185514:0.683891:0.169125:0.593319:0.169125:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 A:@0.622858:0.185514:0.632754:0.185514:0.632754:0.169152:0.622858:0.169152:0.000000 det( ) = 3:@0.593319:0.329943:0.665684:0.329943:0.665684:0.313555:0.593319:0.313555:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 A:@0.622858:0.329943:0.632754:0.329943:0.632754:0.313582:0.622858:0.313582:0.000000 det( ) = –44:@0.593319:0.475853:0.683891:0.475853:0.683891:0.459464:0.593319:0.459464:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 A:@0.622858:0.475853:0.632754:0.475853:0.632754:0.459492:0.622858:0.459492:0.000000 x:@0.593319:0.685645:0.600782:0.685645:0.600782:0.669284:0.593319:0.669284:0.000000 = – :@0.600782:0.685645:0.633086:0.685645:0.633086:0.669256:0.600782:0.669256:0.000000:0.000000:0.000000:0.000000:0.000000 11 :@0.633082:0.677874:0.655103:0.677874:0.655103:0.661485:0.633082:0.661485:0.000000:0.000000:0.000000 7:@0.633082:0.697568:0.646111:0.697568:0.646111:0.681179:0.633082:0.681179:0.000000:0.000000 , = :@0.652321:0.685619:0.694170:0.685619:0.694170:0.669230:0.652321:0.669230:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y:@0.667634:0.685619:0.675116:0.685619:0.675116:0.669258:0.667634:0.669258:0.000000 6 :@0.694162:0.677874:0.711226:0.677874:0.711226:0.661485:0.694162:0.661485:0.000000:0.000000:0.000000 7:@0.694162:0.697568:0.707190:0.697568:0.707190:0.681179:0.694162:0.681179:0.000000:0.000000 x:@0.593307:0.851762:0.600770:0.851762:0.600770:0.835401:0.593307:0.835401:0.000000 = :@0.600770:0.851762:0.619824:0.851762:0.619824:0.835373:0.600770:0.835373:0.000000:0.000000:0.000000 17:@0.619833:0.844016:0.637818:0.844016:0.637818:0.827627:0.619833:0.827627:0.000000:0.000000 7:@0.619833:0.863710:0.632861:0.863710:0.632861:0.847322:0.619833:0.847322:0.000000:0.000000 , = – :@0.639071:0.851761:0.690134:0.851761:0.690134:0.835372:0.639071:0.835372:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y:@0.650349:0.851761:0.657831:0.851761:0.657831:0.835400:0.650349:0.835400:0.000000 8 :@0.690126:0.844016:0.707190:0.844016:0.707190:0.827627:0.690126:0.827627:0.000000:0.000000:0.000000 7:@0.690126:0.863710:0.703154:0.863710:0.703154:0.847322:0.690126:0.847322:0.000000:0.000000 , = – :@0.709364:0.851761:0.760188:0.851761:0.760188:0.835372:0.709364:0.835372:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 z:@0.720642:0.851761:0.727884:0.851761:0.727884:0.835400:0.720642:0.835400:0.000000 6 :@0.760181:0.844016:0.777245:0.844016:0.777245:0.827627:0.760181:0.827627:0.000000:0.000000:0.000000 7:@0.760181:0.863710:0.773209:0.863710:0.773209:0.847322:0.760181:0.847322:0.000000:0.000000 , :@0.779420:0.851761:0.786662:0.851761:0.786662:0.835372:0.779420:0.835372:0.000000:0.000000 ©:@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 :@0.079553:0.684192:0.079553:0.268045:0.061505:0.268045:0.061505:0.684192:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000