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Alexandra1603
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Pe: 2021-01-15T21:57:12+02:00 In: In:

Punctul C, va rog

Punctul C, va rog

Punctul c

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    \det(B^n)=\det(B)^n=\det(A+A^t)=\det(\begin{pmatrix} 0&0&1\\ 1&0&0\\ 0&1&0 \end{pmatrix}+\begin{pmatrix} 0&1&0\\ 0&0&1\\ 1&0&0 \end{pmatrix})=\det(\begin{pmatrix} 0&1&1\\ 1&0&1\\ 1&1&0 \end{pmatrix})=-\begin{vmatrix} 1&1 \\ 1&0 \end{vmatrix}+\begin{vmatrix} 1&0 \\ 1&1 \end{vmatrix}=-(-1)+1=2

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