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Doua matrice cu determinanti egali

 
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alex2008
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Joined: 19 Oct 2008
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PostPosted: Mon Feb 21, 2011 8:43 pm    Post subject: Doua matrice cu determinanti egali Reply with quote

Fie A,B\in\mathcal{M}_n(\mathbb{C}),\ A=(a_{ij}),B=(b_{ij}). Daca exista x_k,y_k, k=\overline{1,n} astfel incat x_1x_2-x_n=y_1y_2-y_n=1 si a_{ij}=x_iy_jb_{ij},\ (\forall)1\le i,j\le n, sa se demonstreze ca \det{A}=\det{B}.
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