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det(A+xB)

 
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flaviusc11



Joined: 14 Mar 2011
Posts: 1

PostPosted: Mon Mar 14, 2011 11:09 am    Post subject: det(A+xB) Reply with quote

Buna ziua. E adevarat ca det(A+xB)=(detB)x(x la puterea a 2-a) + tr(A)x + det A , unde A, B sunt matrice patratice de ordinul 2? Am intrebat pt ca am intalnit in niste rezolvari formula asta, dar am dubii asupra ei.
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DrAGos Calinescu
Thales


Joined: 07 Dec 2008
Posts: 142
Location: Pitesti

PostPosted: Mon Mar 14, 2011 8:32 pm    Post subject: Reply with quote

\det (A+xB)=x^2\det B + \tr (AB^*)x+ \det A
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