Determinante

Die Determinante einer quadratischen Matrix ist eine Zahl, die sich wie folgt berechnet: Die Determinante einer 2x2-Matrix: det ( a b c d ) = a d − b c MathType@MTEF@& 053;@& 053;@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbwvMCKf MBHbqedmvETj2BSbqefm0B1jxALjhiov2DaerbuLwBLnhiov2DGi1B TfMBaebbnrfifHhDYfgasaacH8XjY=vipgYlh9vqqj=hEeeu0xXdbb a9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9q8qqaq=dir=f0=yq aiVgFr0xfr=xfr=xb9adbaqaaeaacaGaaiaabeqaamaaeaqbaaGcba GaciizaiaacwgacaGG0bWaaeWaaeaafaqabeGacaaabaGaamyyaaqa aiaadkgaaeaacaWGJbaabaGaamizaaaaaiaawIcacaGLPaaacqGH9a qpcaWGHbGaamizaiabgkHiTiaadkgacaWGJbaaaa@4645@ Die Determinante einer 3x3-Matrix: det ( a 11 a 12 a 13 a 21 a 22 a 23 a 31 a 32 a 33 ) = a 11 a 22 a 33 + a 12 a 23 a 31 + a 13 a 21 a 32 − a 13 a 22 a 31 − a 12 a 21 a 33 − a 11 a 23 a 32 MathType@MTEF@& 053;@& 053;@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbwvMCKf MBHbqedmvETj2BSbqefm0B1jxALjhiov2DaerbuLwBLnhiov2DGi1B TfMBaebbnrfifHhDYfgasaacH8XjY=vipgYlh9vqqj=hEeeu0xXdbb a9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9q8qqaq=dir=f0=yq aiVgFr0xfr=xfr=xb9adbaqaaeaacaGaaiaabeqaamaaeaqbaaGcba GaciizaiaacwgacaGG0bWaaeWaaeaafaqabeWadaaabaGaamyyamaa BaaaleaacaaIXaGaaGymaaqabaaakeaacaWGHbWaaSbaaSqaaiaaig dacaaIYaaabeaaaOqaaiaadggadaWgaaWcbaGaaGymaiaaiodaaeqa aaGcbaGaamyyamaaBaaaleaacaaIYaGaaGymaaqabaaakeaacaWGHb WaaSbaaSqaaiaaikdacaaIYaaabeaaaOqaaiaadggadaWgaaWcbaGa aGOmaiaaiodaaeqaaaGcbaGaamyyamaaBaaaleaacaaIZaGaaGymaa qabaaakeaac