Answer
$B A=\left[b_{1}-3 b_{2}+2 b_{3} \quad b_{2} \quad-2 b_{1}+b_{2}-b_{3}\right]$
Work Step by Step
\[
A=\left[\begin{array}{ccc}
1 & 0 & -2 \\
-3 & 1 & 1 \\
2 & 0 & -1
\end{array}\right], B=\left[\begin{array}{ccc}
2 & 3 & 0 \\
1 & -1 & 1 \\
-1 & 6 & 4
\end{array}\right]
\]
point the columns of the matrix $B$ by $b_{1}, b_{2},$ and $b_{3}$
\[
B A=\left[\begin{array}{lll}
b_{1} & b_{2} & b_{3}
\end{array}\right]\left[\begin{array}{ccc}
1 & 0 & -2 \\
-3 & 1 & 1 \\
2 & 0 & -1
\end{array}\right]
\]
clarify the product as a single matrix.