Question

A e B são matrizes quadradas de ordem 2, cujos elementos são dados por aij=3j-2j e bij=(aij) ao quadrado. cálcule: A-B e A+B

Answer 1

$a_{11}=3.1-2.1=1 \\ a_{12}=3.2-2.2=2 \\ a_{21}=3.1-2.1=1 \\ a_{22}=3.2-2.2=2 \\ \\ A= \left[\begin{array}{ccc}1&2\\1&2\end{array}\right] \\ \\ B=\left[\begin{array}{ccc}1&2\\1&2\end{array}\right] \\ \\ A+B \\ \\ \left[\begin{array}{ccc}1&2\\1&2\end{array}\right]+\left[\begin{array}{ccc}1&2\\1&2\end{array}\right]=\left[\begin{array}{ccc}1+1&2+2\\1+1&2+2\end{array}\right]=\left[\begin{array}{ccc}2&4\\2&4\end{array}\right]$

Agora A - B

$\left[\begin{array}{ccc}1&2\\1&2\end{array}\right]-\left[\begin{array}{ccc}1&2\\1&2\end{array}\right]=\left[\begin{array}{ccc}1-1&2-2\\1-1&2-2\end{array}\right]=\left[\begin{array}{ccc}0&0\\0&0\end{array}\right]$