Question

Escreva as matrizes: a) A=(aij) 3
x 2 tal que a í j = i+j​

Answer 1

Vamos montar a matrix genérica:

$\huge~A=\begin{vmatrix}a_{11}&a_{12}\\a_{21}&a_ {22}\\a_{31}&a_{32}\end{vmatrix}$

Agora vamos obter o valor de cada elemento através da lei matricial:

$\mathsf{a_{11}=1+1=2}\\\mathsf{a_{12}=1+2=3}\\\mathsf{a_{21}=2+1=3}\\\mathsf{a_{22}=2+2=4}$

$\mathsf{a_{31}=3+1=4}\\\mathsf{a_{32}=3+2=5}$

Substituindo cada elemento pelo seu respectivo valor na matrix A temos que

$\huge~A=\begin{vmatrix}2&3\\3&4\\4&5\end{vmatrix}$

$\huge\boxed{\boxed{\boxed{\mathsf{Bons~estudos~:) }}}}$

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