Chapter 1.3, Problem 10E

In Exercises 9–10, use matrices A and B from Exercises 7–8.

1. a. Express each column vector of AB as a linear combination of the column vectors of A.
2. b. Express each column vector of BA as a linear combination of the column vectors of B.

In Exercises 7–8, use the following matrices and either the row method or the column method, as appropriate, to find the indicated row or column.

$A=\left[\begin{array}{l}3-27\\ 654\\ 049\end{array}\right]$ and $B=\left[\begin{array}{l}6-24\\ 013\\ 775\end{array}\right]$