Question

(UFPA) Dadas as matrizes A=(3 2/-1 0/1 1) e B=(1/2).
qual o valor de A . 2B?

a)(5/-1/3)
b)(14/-2/6)
c)(6/-1/3)
d)(14/-2/3)
e)(5/-2/6)

Answer 1

Resposta:

b)

Explicação passo-a-passo:

A:

$\left[\begin{array}{ccc}3&2\\-1&0\\1&1\end{array}\right]$

B:

$\left[\begin{array}{ccc}1\\2\end{array}\right]$

A.2B:

$\left[\begin{array}{ccc}3&2\\-1&0\\1&1\end{array}\right] .2.\left[\begin{array}{ccc}1\\2\end{array}\right] \\\left[\begin{array}{ccc}3&2\\-1&0\\1&1\end{array}\right] .\left[\begin{array}{ccc}2\\4\end{array}\right]\\\left[\begin{array}{ccc}3.2+2.4\\-1.2+0.4\\1.2+1.4\end{array}\right]\\\left[\begin{array}{ccc}14\\-2\\6\end{array}\right]$

Dúvidas só perguntar!