Examples:

1. Solve the below matrix multiplication problems.

   $\left(\begin{array}{ccc}1& 2& 3\\ 4& 5& 6\\ 7& 8& 9\end{array}\right)*\left(\begin{array}{ccc}1& 0& 0\\ 0& 1& 0\\ 0& 0& 1\end{array}\right)$

   $\left(\begin{array}{ccc}1& 2& 3\\ 4& 5& 6\\ 7& 8& 9\end{array}\right)$ Comment: Notice the solution is equal to the first matrix. This is because of the multiplication with an identity matrix.

2. $\left(\begin{array}{ccc}2& 3& 4\\ 5& 1& 3\\ -1& 2& 2\end{array}\right)*\left(\begin{array}{ccc}5& 4& 4\\ -2& 0& 1\\ 3& -1& 1\end{array}\right)$

   $\left(\begin{array}{ccc}16& 4& 15\\ 32& 17& 24\\ -3& -6& 0\end{array}\right)$

3. $\left(\begin{array}{ccc}.5& .2& -.1\\ -.4& 1.2& 3\\ -.6& 2.3& 1\end{array}\right)*\left(\begin{array}{ccc}0& 1.1& 1.4\\ .4& 3.2& .4\\ .2& .8& .7\end{array}\right)$

   $\left(\begin{array}{ccc}.06& 1.11& .71\\ 1.08& 5.8& 2.02\\ 1.12& 7.5& .78\end{array}\right)$