Forum Studenti •segnatura forma bilineare con parametro

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Forum Studenti •segnatura forma bilineare con parametro

Pagina 1 di 1

segnatura forma bilineare con parametro

Inviato: venerdì 9 dicembre 2016, 15:37

da ss420

Ho difficoltà a capire come svolgere questo esercizio:

Per quali valori di la matrice simmetrica

è associata, tramite la base canonica di , ad una applicazione bilineare simmetrica , di segnatura ?

Re: segnatura forma bilineare con parametro

Inviato: venerdì 9 dicembre 2016, 21:10

da Massimo Gobbino

Re: segnatura forma bilineare con parametro

Inviato: venerdì 9 dicembre 2016, 23:55

da GIMUSI

allego un possibile svolgimento con i vari metodi

in effetti sylvester pare il più rapido e comodo (anche se c'è la questione del det nullo, ma in questo caso non crea problemi di interpretazione)...anche cartesio non funziona malaccio...il calcolo diretto degli autovalori è scomodo...il completamento dei quadrati non è di immediata interpretazione

Re: segnatura forma bilineare con parametro

Inviato: sabato 10 dicembre 2016, 10:26

da ss420