Question

dada a matriz de ordem 2, cujo elemento genérico é: a= 2i+j E b=i+2j calcule.

a) A+B-2A




b) A×B


Me ajudem por favor preciso pra hoje !!!​

Answer 1

Resposta:

Leia abaixo

Explicação passo-a-passo:

$A_{(2x2) \: a_{ij} = 2i + j$

$A = \large\mathsf{\begin{vmatrix}3&4\\5&6\end{vmatrix}}$

$B_{(2x2) \: a_{ij} = i + 2j$

$B = \large\mathsf{\begin{vmatrix}3&5\\4&6\end{vmatrix}}$

$A + B - 2A = \large\mathsf{\begin{vmatrix}3 + 3 - 6&4 + 5 - 8\\5 + 4 - 10&6 + 6 - 12\end{vmatrix}} = \large\mathsf{\begin{vmatrix}0&1\\-1&0\end{vmatrix}}$

$A.B = \large\mathsf{\begin{vmatrix}3&4\\5&6\end{vmatrix}} . \large\mathsf{\begin{vmatrix}3&5\\4&6\end{vmatrix}} = \large\mathsf{\begin{vmatrix}25&39\\39&61\end{vmatrix}}$