Answer
$\left[\begin{array}{ccc}
{1}&{14}&{-14}\\
{2}&{22}&{-18}\\
{3}&{0}&{28}\end{array}\right]$
Work Step by Step
C is a 3 by 2 matrix. A is a 2 by 3 matrix.
CA is defined and is a 3 by 3 matrix,
the entry $[CA]_{ij}$ = (row i of C)$\times$(column j of A)
$CA=\left[\begin{array}{ll}
4 & 1\\
6 & 2\\
-2 & 3
\end{array}\right]\left[\begin{array}{lll}
0 & 3 & -5\\
1 & 2 & 6
\end{array}\right]$
$=\left[\begin{array}{ccc}
{4(0)+1(1)}&{4(3)+1(2)}&{4(-5)+1(6)}\\
{6(0)+2(1)}&{6(3)+2(2)}&{6(-5)+2(6)}\\
{-2(0)+3(1)}&{-2(3)+3(2)}&{-2(-5)+3(6)}\end{array}\right]$
$=\left[\begin{array}{ccc}
{1}&{14}&{-14}\\
{2}&{22}&{-18}\\
{3}&{0}&{28}\end{array}\right]$
