Question

Construa a matriz A=(aij)5×3, tal que aij=2i-3j

Answer 1

A resolução encontra-se na imagem em anexo. Espero ter ajudado

Answer 2

Boa noite!

$\begin{bmatrix}a11&a12&a13\\a21&a22&a23\\a31&a32&a33\\a41&a42&a43\\a51&a52&a53\\\end{bmatrix}$

$\mathrm{a11}\Rightarrow\textup{2}\times\textup{1-3}\times\textup{1}\Rightarrow\textup{2-3}=\boxed{-1}$

$\mathrm{a12}\Rightarrow\textup{2}\times\textup{1-3}\times\textup{2}\Rightarrow\textup{2-6}=\boxed{-4}$

$\mathrm{a13}\Rightarrow\textup{2}\times\textup{1-3}\times\textup{3}\Rightarrow\textup{2-9}=\boxed{-7}$

$\mathrm{a21}\Rightarrow\textup{2}\times\textup{2-3}\times\textup{1}\Rightarrow\textup{4-3}=\boxed{1}$

$\mathrm{a22}\Rightarrow\textup{2}\times\textup{2-3}\times\textup{2}\Rightarrow\textup{4-6}=\boxed{-2}$

$\mathrm{a23}\Rightarrow\textup{2}\times\textup{2-3}\times\textup{3}\Rightarrow\textup{4-9}=\boxed{-5}$

$\mathrm{a31}\Rightarrow\textup{2}\times\textup{3-3}\times\textup{1}\Rightarrow\textup{6-3}=\boxed{3}$

$\mathrm{a32}\Rightarrow\textup{2}\times\textup{3-3}\times\textup{2}\Rightarrow\textup{6-6}=\boxed{0}$

$\mathrm{a33}\Rightarrow\textup{2}\times\textup{3-3}\times\textup{3}\Rightarrow\textup{6-9}=\boxed{-3}$

$\mathrm{a41}\Rightarrow\textup{2}\times\textup{4-3}\times\textup{1}\Rightarrow\textup{8-3}=\boxed{5}$

$\mathrm{a42}\Rightarrow\textup{2}\times\textup{4-3}\times\textup{2}\Rightarrow\textup{8-6}=\boxed{2}$

$\mathrm{a43}\Rightarrow\textup{2}\times\textup{4-3}\times\textup{3}\Rightarrow\textup{8-9}=\boxed{-1}$

$\mathrm{a51}\Rightarrow\textup{2}\times\textup{5-3}\times\textup{1}\Rightarrow\textup{10-3}=\boxed{7}$

$\mathrm{a52}\Rightarrow\textup{2}\times\textup{5-3}\times\textup{2}\Rightarrow\textup{10-6}=\boxed{4}$

$\mathrm{a53}\Rightarrow\textup{2}\times\textup{5-3}\times\textup{3}\Rightarrow\textup{10-9}=\boxed{1}$

Matriz Resposta:

$\begin{bmatrix}-1&-4&-7\\1&-2&-5\\3&0&-3\\5&2&-1\\7&4&1\\\end{bmatrix}$

Att;Guilherme Lima