0001.tex

\begin{exercise}{M1}{Multiplying matrices}{0001}
\begin{exerciseStatement}

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

\end{exerciseStatement}
\begin{exerciseAnswer}\[BC= \left[\begin{array}{cccc}
-4 & 19 & -22 & -22 \\
-4 & 19 & -23 & -23
\end{array}\right] \]\end{exerciseAnswer}
\end{exercise}