Question

ALGUEM  AJUDA??

 

1- Dada as matrizes

 

A=  1   3         e    B=  -1  2

       2   4                       3  1       , calcular o determinante de (A + B ) ^t

Answer 1

Olá, Jacque.

 

$<var>A=\left[\begin{array}{cc}1 & 3 \\ 2 & 4 \end{array}\right], B+\left[\begin{array}{cc}-1 & 2 \\ 3 & 1 \end{array}\right]\\\\\\ A+B=\left[\begin{array}{cc}1 -1& 3 +2 \\ 2+3 & 4+1 \end{array}\right]=\left[\begin{array}{cc}0& 5 \\ 5& 5 \end{array}\right]\\\\\\ (A+B)^t=\left[\begin{array}{cc}0& 5 \\ 5& 5 \end{array}\right]\\\\\\ det(A + B ) ^t=0\cdot5-5\cdot5=\boxed{-25}</var>$