Chapter 4.4, Problem 8MP

(A)

To determine

The product of the matrices $\left[\begin{array}{cccc}-1& 0& 3& -2\\ 1& 2& 2& 0\end{array}\right]\text{ and }\left[\begin{array}{cc}-1& 1\\ 2& 3\\ 1& 0\end{array}\right]$.

(B)

To determine

The product of the matrices $\left[\begin{array}{cc}-1& 1\\ 2& 3\\ 1& 0\end{array}\right]\text{ and }\left[\begin{array}{cccc}-1& 0& 3& -2\\ 1& 2& 2& 0\end{array}\right]$.

(C)

To determine

The product of the matrices $\left[\begin{array}{cc}1& 2\\ -1& -2\end{array}\right]\text{ and }\left[\begin{array}{cc}-2& 4\\ 1& -2\end{array}\right]$.

(D)

To determine

The product of the matrices $\left[\begin{array}{cc}-2& 4\\ 1& -2\end{array}\right]\text{ and }\left[\begin{array}{cc}1& 2\\ -1& -2\end{array}\right]$.

(E)

To determine

The product of the matrices $\left[\begin{array}{ccc}3& -2& 1\end{array}\right]\text{ and }\left[\begin{array}{c}4\\ 2\\ 3\end{array}\right]$.

(F)

To determine

The product of the matrices $\left[\begin{array}{c}4\\ 2\\ 3\end{array}\right]\text{ and }\left[\begin{array}{ccc}3& -2& 1\end{array}\right]$.