Question

Dada as matrizes, determine:

A•B

B•A​

Answer 1

$A=\begin{bmatrix}1&3\\0&-2\end{bmatrix}$

$B=\begin{bmatrix}4&-1\\1&2\end{bmatrix}$

$A\bullet\:B=\begin{bmatrix}1\times4+3\times1&1\times(-1)+3\times2\\0\times4-2\times1&0\times(-1)-2\times2\end{bmatrix}$

$A\bullet\,B=\begin{bmatrix}7&5\\-2&-4\end{bmatrix}$

$B\bullet\,A=\begin{bmatrix}4\times1-1\times0&4\times3-1\times(-2)\\1\times1+2\times0&1\times3+2\times(-2)\end{bmatrix}$

$B\bullet\,A=\begin{bmatrix}4&14\\1&-1\end{bmatrix}$