Question

Escreva a matriz A=(aij)2x2 tal que aij=2i+3j como resolvo?

Answer 1

Primeiro 
$\left[\begin{array}{ccc}a11&a12\\a21&a22\\\end{array}\right]$

$\left[\begin{array}{ccc}2*1+3*1&2*1+3*2\\2*2+3*1&2*2+3*2\\\end{array}\right] = \left[\begin{array}{ccc}5&8\\7&10\\\end{array}\right]$

Answer 2

$A= \left[\begin{array}{ccc}a_1_1&a_1_2\\a_2_1&a_2_2\end{array}\right]$

$a_1_1=2*1+3*1\\\\ a_1_1=2+3\\\\ \boxed{a_1_1=5}\\\\ a_1_2=2*1+3*2\\\\ a_1_2=2+6\\\\\ \boxed{a_1_2=8}\\\\\ a_2_1=2*2+3*1\\\\ a_2_1=4+3\\\\ \boxed{a_2_1=7}\\\\\ a_2_2=2*2+3*2\\\\ a_2_2=4+6\\\\ \boxed{a_2_2=10}$

Portanto, a matriz ficou

$\boxed{\boxed{A= \left[\begin{array}{ccc}5&8\\7&10\end{array}\right] }}$