0005.tex

\begin{exercise}{M1}{Multiplying matrices}{0005}
\begin{exerciseStatement}

Of the following three matrices, only two may be multiplied. \[
          A= \left[\begin{array}{ccc}
0 & -1 & -2 \\
-2 & -5 & 2 \\
1 & 0 & 0 \\
-1 & -4 & -1
\end{array}\right]  \hspace{1em} B= \left[\begin{array}{cc}
-1 & -5 \\
2 & -5 \\
1 & 1
\end{array}\right]  \hspace{1em} C= \left[\begin{array}{cc}
1 & 2 \\
-2 & -3 \\
-3 & -1 \\
5 & 6
\end{array}\right] \] Explain which two can be multiplied and why. Then show how to find their product.

\end{exerciseStatement}
\begin{exerciseAnswer}\[AB= \left[\begin{array}{cc}
-4 & 3 \\
-6 & 37 \\
-1 & -5 \\
-8 & 24
\end{array}\right] \]\end{exerciseAnswer}
\end{exercise}