Answer
$\begin{bmatrix} -9 &3\\6&0\end{bmatrix} $
Work Step by Step
When we multiply a scalar $k$ with a matrix $A$, then the product will be the matrix $kA$, each of whose elements is $k$ times the corresponding element of $A$.
Thus, to find $\frac{3}{2}B$, we have to multiply $\frac{3}{2}$ to each element of $B$ to obtain:
\begin{align*}
\frac{3}{2}B&= \frac{3}{2}\begin{bmatrix} -6 &2\\4&0\end{bmatrix}\\
\\&=\begin{bmatrix} (\frac{3}{2})(-6) &(\frac{3}{2})(2)\\(\frac{3}{2})(4)&(\frac{3}{2})(0)\end{bmatrix}\\ \\&=\begin{bmatrix} -9 &3\\6&0\end{bmatrix}
\end{align*}
