Forum Studenti •Invertibilità di una matrice

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Forum Studenti •Invertibilità di una matrice

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Invertibilità di una matrice

Inviato: venerdì 31 marzo 2017, 17:04

da Valerio

Perchè se una matrice ha determinante nullo non è invertibile?

Re: Invertibilità di una matrice

Inviato: venerdì 31 marzo 2017, 17:33

da GIMUSI

la si può interpretare così: se il determinante è nullo significa che le colonne non sono tra loro linearmente indipendenti pertanto la trasformazione associata Ax=y non è surgettiva (il sistema lineare non ha soluzione per ogni y) e nemmeno iniettiva direi, quindi la trasformazione non è invertibile

Re: Invertibilità di una matrice

Inviato: venerdì 31 marzo 2017, 17:43

da Valerio

Perfetto grazie mille

Re: Invertibilità di una matrice

Inviato: venerdì 31 marzo 2017, 17:49

da Massimo Gobbino