Question
$A=\left[\begin{array}{ccc}2 & 3 & 1 \\ -1 & -2 & 0\end{array}\right]_{2 \times 3}$ and
$
B=\left[\begin{array}{ccc}
-4 & 3 & 1 \\
5 & 7 & -8
\end{array}\right]_{2 \times 3} \text { Find } A+B \text {. }
$

Answer

By definition of addition,
$
\begin{aligned}
A+B & =\left[\begin{array}{ccc}
2+(-4) & 3+3 & 1+1 \\
-1+5 & -2+7 & 0+(-8)
\end{array}\right]_{2 \times 3} \\
& =\left[\begin{array}{ccc}
-2 & 6 & 2 \\
4 & 5 & -8
\end{array}\right]_{2 \times 3}
\end{aligned}
$

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