Answer
$\begin{bmatrix}4&-3&0\\12&-2&-8\\-2&5&-4\end{bmatrix}$
Work Step by Step
We are given the matrices:
$A=\begin{bmatrix}1&0\\2&4\\-1&2\end{bmatrix},B=\begin{bmatrix}4&-3&0\\1&1&-2\end{bmatrix}$
Compute $A\times B$:
$A\times B=\begin{bmatrix}1&0\\2&4\\-1&2\end{bmatrix}\times\begin{bmatrix}4&-3&0\\1&1&-2\end{bmatrix}$
$=\begin{bmatrix}1(4)+0(1)&1(-3)+0(1)&1(0)+0(-2)\\2(4)+4(1)&2(-3)+4(-1)&2(0)+4(-2)\\-1(4)+2(1)&-1(-3)+2(1)&-1(0)+2(-2)\end{bmatrix}$
$=\begin{bmatrix}4&-3&0\\12&-2&-8\\-2&5&-4\end{bmatrix}$
