Question

Calcule as matrizes matematica

Answer 1

Resposta:

a) $\begin{pmatrix}5&-2&-\frac{5}{2}\\ 3&-4&-1\end{pmatrix}$

b) $\begin{pmatrix}7&-7\\ \sqrt{3}&-1\end{pmatrix}$

c) $\begin{pmatrix}2&-7\\ 5&2\\ 5&-1\end{pmatrix}$

d) $\begin{pmatrix}1\\ 5\\ -9\end{pmatrix}$

Explicação passo-a-passo:

a)

$\begin{pmatrix}1&0&-3\\ 2&-3&-1\end{pmatrix}+\begin{pmatrix}4&-2&\frac{1}{2}\\ 1&-1&0\end{pmatrix}$

$=\begin{pmatrix}1+4&0+\left(-2\right)&\left(-3\right)+\frac{1}{2}\\ 2+1&\left(-3\right)+\left(-1\right)&\left(-1\right)+0\end{pmatrix}$

$=\begin{pmatrix}5&-2&-\frac{5}{2}\\ 3&-4&-1\end{pmatrix}$

b)

$\begin{pmatrix}2&-3\\ \sqrt{3}&0\end{pmatrix}+\begin{pmatrix}5&-4\\ 0&-1\end{pmatrix}$

$=\begin{pmatrix}2+5&\left(-3\right)+\left(-4\right)\\ \sqrt{3}+0&0+\left(-1\right)\end{pmatrix}$

$=\begin{pmatrix}7&-7\\ \sqrt{3}&-1\end{pmatrix}$

c)

$\begin{pmatrix}3&-5\\ 2&7\\ 4&0\end{pmatrix}-\begin{pmatrix}1&2\\ -3&5\\ -1&1\end{pmatrix}$

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

$=\begin{pmatrix}2&-7\\ 5&2\\ 5&-1\end{pmatrix}$

d)

$\begin{pmatrix}1\\ 3\\ -5\end{pmatrix}-\begin{pmatrix}0\\ -2\\ 4\end{pmatrix}$

$=\begin{pmatrix}1-0\\ 3-\left(-2\right)\\ \left(-5\right)-4\end{pmatrix}$

$=\begin{pmatrix}1\\ 5\\ -9\end{pmatrix}$