Chapter 1.5, Problem 12E

The vectors listed in Eq.(10) are used in several of the exercises that follow.

$\mathbf{r}=\left[\begin{array}{c}1\\ 0\end{array}\right]$,	$\mathbf{s}=\left[\begin{array}{c}2\\ -3\end{array}\right]$	(10)
$\mathbf{t}=\left[\begin{array}{c}1\\ 4\end{array}\right]$,	$\mathbf{u}=\left[\begin{array}{c}-4\\ 6\end{array}\right]$

In Exercises 7-12, perform the indicated computation, using the vectors in Eq.(10) and the matrices in Eq.(9).

a) $\left(\mathit{A}+\mathit{C}\right)\mathbf{r}$

b) $\left(2\mathit{B}+3\mathit{C}\right)\mathbf{s}$