Question

Dadas as matrizes A, B e C abaixo, calcule A - 2B - C *

5 pontos


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Answer 1

Resposta:

Sendo a equação A - 2B - C, temos:

$\begin{pmatrix}2&1\\ \:-3&4\end{pmatrix}-2* \begin{pmatrix}0&-1\\ \:2&5\end{pmatrix}-\begin{pmatrix}3&0\\ \:6&1\end{pmatrix}\\\\\\=\begin{pmatrix}2&1\\ -3&4\end{pmatrix}-\begin{pmatrix}0&-2\\ 4&10\end{pmatrix}-\begin{pmatrix}3&0\\ 6&1\end{pmatrix}\\\\=\begin{pmatrix}2-0&1-\left(-2\right)\\ \left(-3\right)-4&4-10\end{pmatrix}-\begin{pmatrix}3&0\\ 6&1\end{pmatrix}\\\\=\begin{pmatrix}2&3\\ -7&-6\end{pmatrix}-\begin{pmatrix}3&0\\ 6&1\end{pmatrix}$

$=\begin{pmatrix}2-3&3-0\\ \left(-7\right)-6&\left(-6\right)-1\end{pmatrix}\\\\\\=\begin{pmatrix}-1&3\\ -13&-7\end{pmatrix}$