Question

escreva a matriz b2x3
sendo bij =
i² quando i < j
0 quando i = j
j² quando i > j​

Answer 1

$\boxed{\begin{array}{l}\boldsymbol{Resposta:}~\sf B=\begin{bmatrix}\sf0&\sf1&\sf1\\\sf1&\sf0&\sf4\end{bmatrix}\\\boldsymbol{ Explicac_{\!\!,}\tilde ao~passo~a~passo:}\\\sf B=b_{ij}_{2\times3}\begin{cases}\sf i^2,~quando~i<j\\\sf 0~quando~i=j\\\sf j^2~quando~i>j\end{cases}\\\sf exibindo~a~matriz~gen\acute erica~2\times 3~temos:\\\sf B=\begin{bmatrix}\sf a_{11}&\sf a_{12}&\sf a_{13}\\\sf a_{21}&\sf a_{22}&\sf a_{23}\end{bmatrix}\\\sf vamos~obter~cada~elemento~de~acordo\\\sf com~a~lei~matricial:\end{array}}$

$\Large\boxed{\begin{array}{l}\sf a_{11}=0~~a_{12}=1^2=1~~a_{13}=1^2=1\\\sf a_{21}=1^2=1~~a_{22}=0~~a_{23}=2^2=4\\\sf substituindo~na~matriz~gen\acute erica~teremos\\\sf B=\begin{bmatrix}\sf0&\sf1&\sf1\\\sf1&\sf0&\sf4\end{bmatrix}\end{array}}$