Question

Dadas as matrizes A= $\left[\begin{array}{ccc}1&&5\\9&&7\end{array}\right]$ e B= $\left[\begin{array}{ccc}-2&&5\\0&&1\end{array}\right]$, calcule a matriz resultado da expressão abaixo.

2∙A-B+A∙B

Answer 1

Resposta:

Olá!

Explicação passo-a-passo:

$A=\left[\begin{array}{ccc}1&5\\9&7\\\end{array}\right]$    $B=\left[\begin{array}{ccc}-2&5\\0&1\\\end{array}\right]$

$2.A-B+A.B$

$2.\left[\begin{array}{ccc}1&5\\9&7\\\end{array}\right]-\left[\begin{array}{ccc}-2&5\\0&1\\\end{array}\right]+\left[\begin{array}{ccc}1&5\\9&7\\\end{array}\right].\left[\begin{array}{ccc}-2&5\\0&1\\\end{array}\right]$

$\left[\begin{array}{ccc}2&10\\18&14\\\end{array}\right]-\left[\begin{array}{ccc}-2&5\\0&1\\\end{array}\right]+\left[\begin{array}{ccc}1.(-2)+5.0&1.5+5.1\\9.(-2)+7.0&9.5+7.1\\\end{array}\right]$

$\left[\begin{array}{ccc}2&10\\18&14\\\end{array}\right]-\left[\begin{array}{ccc}-2&5\\0&1\\\end{array}\right]+\left[\begin{array}{ccc}-2&10\\-18&52\\\end{array}\right]$

$\left[\begin{array}{ccc}4&5\\18&13\\\end{array}\right]+\left[\begin{array}{ccc}-2&10\\-18&52\\\end{array}\right]$

$\left[\begin{array}{ccc}2&15\\0&65\\\end{array}\right]$

Bons Estudos!