Question

Questão sobre matrizes. Dadas as matrizes A e B​

Answer 1

Resposta:

Explicação passo-a-passo:

$A=\left[\begin{array}{cc}2&m\\1&4\end{array}\right]\\\\B=\left[\begin{array}{c}n\\1\end{array}\right]\\\\C=\left[\begin{array}{c}4\\0\end{array}\right]\\A.B=\left[\begin{array}{cc}2&m\\1&4\end{array}\right].\left[\begin{array}{c}n\\1\end{array}\right]=\left[\begin{array}{c}2n+m\\n+4\end{array}\right]\\\\\\A.B=C\\\\\left[\begin{array}{c}2n+m\\n+4\end{array}\right]=\left[\begin{array}{c}4\\0\end{array}\right]\\\\\\2n+m=4\\\\n+4=0=>n=-4$

2n+m=4

2.(-4)+m=4

-8+m=4

m=4+8

m=12

m.n=12.(-4)=-48