0000.tex

\begin{exercise}{M1}{Multiplying matrices}{0000}
\begin{exerciseStatement}

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

\end{exerciseStatement}
\begin{exerciseAnswer}\[BA= \left[\begin{array}{cc}
27 & 28 \\
7 & 31 \\
10 & 18 \\
7 & 3
\end{array}\right] \]\end{exerciseAnswer}
\end{exercise}