Question

Dadas as matrizes, calcule o elemento c23, onde C= A.B

Answer 1

Resposta:

$C_{23} = 3$

Explicação passo-a-passo:

$A_{3\:x\:2}$

$a_{ij} = i - j$

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

$B_{2\:x\:3}$

$b_{ij} = j$

$B = \large\mathsf{\begin{vmatrix}1&2&3\\1&2&3\end{vmatrix}}$

$C = A.B$

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

$C = \large\mathsf{\begin{vmatrix}-1&-2&-3\\1&2&3\\3&6&9\end{vmatrix}}$