Exercise 3

Do the indicated vector operation, if it is defined.

• (a)  $\begin{pmatrix}2\\ 1\\ 1\end{pmatrix}+\begin{pmatrix}3\\ 0\\ 4\end{pmatrix}$     (b)  $5\begin{pmatrix}4\\ -1\end{pmatrix}$     (c)  $\begin{pmatrix}1\\ 5\\ 1\end{pmatrix}-\begin{pmatrix}3\\ 1\\ 1\end{pmatrix}$     (d)  $7\begin{pmatrix}2\\ 1\end{pmatrix}+9\begin{pmatrix}3\\ 5\end{pmatrix}$     (e)  $\begin{pmatrix}1\\ 2\end{pmatrix}+\begin{pmatrix}1\\ 2\\ 3\end{pmatrix}$     (f)  $6\begin{pmatrix}3\\ 1\\ 1\end{pmatrix}-4\begin{pmatrix}2\\ 0\\ 3\end{pmatrix}+2\begin{pmatrix}1\\ 1\\ 5\end{pmatrix}$