Question

Quais os valores de 5A – 3B (imagem abaixo)

Answer 1

Explicação passo-a-passo:

$A=\left[\begin{array}{ccc}0&1&-1\\2&3&7\\\end{array}\right]$  ,  $B=\left[\begin{array}{ccc}1&-1&5\\0&1&9\\\end{array}\right]$

$5A-3B=5.\left[\begin{array}{ccc}0&1&-1\\2&3&7\\\end{array}\right]-3.\left[\begin{array}{ccc}1&-1&5\\0&1&9\\\end{array}\right]$

multiplique os números inteiros com cada elemento das matrizes

$\left[\begin{array}{ccc}5.0&5.1&5.(-1)\\5.2&5.3&5.7\\\end{array}\right]-\left[\begin{array}{ccc}3.1&3.(-1)&3.5\\3.0&3.1&3.9\\\end{array}\right]$

$\left[\begin{array}{ccc}0&5&-5\\10&15&35\\\end{array}\right]-\left[\begin{array}{ccc}3&-3&15\\0&3&27\\\end{array}\right]$

subtraia cada elemento da primeira matriz com cada elemento correspondente da segunda matriz

$\left[\begin{array}{ccc}0-3&5-(-3)&-5-15\\10-0&15-3&35-27\\\end{array}\right]=\left[\begin{array}{ccc}-3&8&-20\\10&12&8\\\end{array}\right]$