Answer
$\begin{bmatrix}16&17\\3&-10\end{bmatrix}$
Work Step by Step
We are given the matrices:
$A=\begin{bmatrix}1&-1\\0&-4\\3&2\end{bmatrix},B=\begin{bmatrix}1&-2&5\\0&3&1\end{bmatrix}$
Compute $BA$:
$BA=\begin{bmatrix}1&-2&5\\0&3&1\end{bmatrix}\begin{bmatrix}1&-1\\0&-4\\3&2\end{bmatrix}$
$=\begin{bmatrix}1(1)+(-2)(0)+5(3)&1(-1)+(-2)(-4)+5(2)\\0(1)+3(0)+1(3)&0(-1)+3(-4)+1(2)\end{bmatrix}$
$=\begin{bmatrix}16&17\\3&-10\end{bmatrix}$
