Answer
$P=\left[\begin{array}{ll}
1 & 2\\
7 & 6
\end{array}\right]$
Work Step by Step
If $A$ is an $m\times n$ matrix and $B$ is an $n\times k$ matrix
(so the number of columns of $A$ is the same as the number of rows of $B$),
then the matrix product $AB$ is the $m\times k$ matrix
whose $ij$-entry is the inner product of the $i\mathrm{t}\mathrm{h}$ row of $A$ and the jth column of $B.$
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The first matrix is a 2$\times\color{blue}{3}$ matrix, and the second is a $\color{blue}{3} \times$2 matrix.
So, the product is defined, and it is a 2$\times$2 matrix.
Naming the product matrix $P=[p_{ij}],$
$p_{11}$ = (row 1 in A) times (column 1 in B)$=2(1)+1(3)+2(-2)=1$
$p_{12}$ = (row 1 in A) times (column $2$ in B)$=2(-2)+1(6)+2(0)=2$
$p_{21}$ = (row $2$ in A) times (column 1 in B)$=6(1)+3(3)+4(-2)=7$
$p_{22}$ = (row $2$ in A) times (column $2$ in B)$=6(-2)+3(6)+4(0)=6$
$P=\left[\begin{array}{ll}
1 & 2\\
7 & 6
\end{array}\right]$