Question

Dada a matriz A = ( 2 -1 0) , calcule A2.
( 1 0 0)
(0 0 1)

Answer 1

Resposta:

Leia abaixo

Explicação passo-a-passo:

$A = \large\mathsf{\begin{vmatrix}2&-1&0\\1&0&0\\0&0&1\end{vmatrix}}$

$A^2 = \large\mathsf{\begin{vmatrix}2&-1&0\\1&0&0\\0&0&1\end{vmatrix}}.\large\mathsf{\begin{vmatrix}2&-1&0\\1&0&0\\0&0&1\end{vmatrix}} = \large\mathsf{\begin{vmatrix}(4-1+0)&(-2+0+0)&(0+0+0)\\(2+0+0)&(-1+0+0)&(0+0+0)\\(0+0+0)&(0+0+0)&(0+0+1)\end{vmatrix}}$

$A^2 = \large\mathsf{\begin{vmatrix}3&-2&0\\2&-1&0\\0&0&1\end{vmatrix}}$