If A= [ ll 1 & 2 2 & 1 ], find the value of A+A^ . - Vidyadip

Question

If $A=\left[\begin{array}{ll}1 & 2 \\ 2 & 1\end{array}\right]$, find the value of $A+A^{\prime}$.

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Answer

$
\begin{aligned}
A+A^{\prime} & =\left[\begin{array}{ll}
1 & 2 \\
2 & 1
\end{array}\right]+\left[\begin{array}{ll}
1 & 2 \\
2 & 1
\end{array}\right]^{\prime} \\
& =\left[\begin{array}{ll}
1 & 2 \\
2 & 1
\end{array}\right]+\left[\begin{array}{ll}
1 & 2 \\
2 & 1
\end{array}\right]=\left[\begin{array}{ll}
2 & 4 \\
4 & 2
\end{array}\right]
\end{aligned}
$

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