Answer
$\begin{bmatrix} -\frac{11}{2}&4&2\\ -1&\frac{11}{2}&8\\-4&-3&-8\end{bmatrix}$
Work Step by Step
Step 1. List the matrices needed:
$\begin{array} \\C=\\ \end{array}
\begin{bmatrix} 1/2&3\\ 2&3/2\\-2&1 \end{bmatrix},
\begin{array} \\B=\\ \end{array}
\begin{bmatrix} 1&2&4\\ -2&1&0 \end{bmatrix} $
Step 2. Perform the operation:
$\begin{array} \\CB=\\ \end{array}
\begin{bmatrix} 1/2&3\\ 2&3/2\\-2&1 \end{bmatrix}
\begin{bmatrix} 1&2&4\\ -2&1&0 \end{bmatrix}=\begin{bmatrix} 1/2-6&1+3&2+0\\ 2-3&4+3/2&8+0\\-2-2&-4+1&-8+0 \end{bmatrix} =\begin{bmatrix} -\frac{11}{2}&4&2\\ -1&\frac{11}{2}&8\\-4&-3&-8\end{bmatrix}$
