Question

Calcule A+B
B-A
3.A+B

Answer 1

Resposta:

A+B

$\begin{pmatrix}4&0\\ 1&8\end{pmatrix}+\begin{pmatrix}3&1\\ 7&9\end{pmatrix}=\begin{pmatrix}7&1\\ 8&17\end{pmatrix}\\\\\\\begin{pmatrix}4&0\\ 1&8\end{pmatrix}+\begin{pmatrix}3&1\\ 7&9\end{pmatrix}\\\begin{pmatrix}4+3&0+1\\ 1+7&8+9\end{pmatrix}\\\begin{pmatrix}7&1\\ 8&17\end{pmatrix}$

B-A

$\begin{pmatrix}3&1\\ 7&9\end{pmatrix}-\begin{pmatrix}4&0\\ 1&8\end{pmatrix}=\begin{pmatrix}-1&1\\ 6&1\end{pmatrix}\\\\\\\begin{pmatrix}3&1\\ 7&9\end{pmatrix}-\begin{pmatrix}4&0\\ 1&8\end{pmatrix}\\\begin{pmatrix}3-4&1-0\\ 7-1&9-8\end{pmatrix}\\\begin{pmatrix}-1&1\\ 6&1\end{pmatrix}$

3.A+B

$3\begin{pmatrix}4&0\\ 1&8\end{pmatrix}+\begin{pmatrix}3&1\\ 7&9\end{pmatrix}=\begin{pmatrix}15&1\\ 10&33\end{pmatrix}\\\\\\3\begin{pmatrix}4&0\\ 1&8\end{pmatrix}+\begin{pmatrix}3&1\\ 7&9\end{pmatrix}\\\begin{pmatrix}12&0\\ 3&24\end{pmatrix}+\begin{pmatrix}3&1\\ 7&9\end{pmatrix}\\\begin{pmatrix}15&1\\ 10&33\end{pmatrix}$