Answer
$\begin{bmatrix} 30&22&2\\ -9&1&-4 \end{bmatrix}$
Work Step by Step
Step 1. List the matrices needed:
$\begin{array} \\B=\\ \end{array}
\begin{bmatrix} 1&2&4\\ -2&1&0 \end{bmatrix},
\begin{array} \\F=\\ \end{array}
\begin{bmatrix} 4&0&2\\ -1&1&0\\7&5&0 \end{bmatrix} $
Step 2. Perform the operation:
$\begin{array} \\BF=\\ \end{array}
\begin{bmatrix} 1&2&4\\ -2&1&0 \end{bmatrix}
\begin{bmatrix} 4&0&2\\ -1&1&0\\7&5&0 \end{bmatrix}
=\begin{bmatrix} 4-2+28&0+2+20&2+0+0\\ -8-1+0&0+1+0&-4+0+0 \end{bmatrix}
=\begin{bmatrix} 30&22&2\\ -9&1&-4 \end{bmatrix}$
