Question

Dados as matrizes A=(aij)2x2,com aij=i²+j²e B=(bij)22com bij=ij,calcule½ A+By

Answer 1

Resposta:

Leia abaixo

Explicação passo-a-passo:

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

$A = \large\mathsf{\begin{vmatrix}2&5\\5&8\end{vmatrix}}$

$B_{2x2} =b_{(ij)} = ij$

$B = \large\mathsf{\begin{vmatrix}1&2\\2&4\end{vmatrix}}$

$B^t = \large\mathsf{\begin{vmatrix}1&2\\2&4\end{vmatrix}}$

$\frac{1}{2}A = \large\mathsf{\begin{vmatrix}2&\frac{5}{2} \\\frac{5}{2}&4\end{vmatrix}}$

$\frac{1}{2}A + B^t = \large\mathsf{\begin{vmatrix}3&\frac{9}{2} \\\frac{9}{2}&8\end{vmatrix}}$