Chapter A.2, Problem 15P

In each of Problems 15 through 17, determine whether ${\text{b}}_j\in S_{\text{col}}\left(\text{A}\right),j=1,2.$ If so, express ${\text{b}}_j$ as a linear combination of the columns of $\text{A}$.

$\text{A=}\left(\begin{array}{ccc}2& 2& -2\\ -1& -3& -1\\ 1& -1& -2\end{array}\right),b_1=\left(\begin{array}{c}2\\ 5\\ 3\end{array}\right),b_2=\left(\begin{array}{c}1\\ 1\\ 1\end{array}\right)$