If A= [ ccc 5 & 1 & -4 3 & 2 & 0 ], find (A^ )^ . - Vidyadip

Question

If $A=\left[\begin{array}{ccc}5 & 1 & -4 \\ 3 & 2 & 0\end{array}\right]$, find $\left(A^{\top}\right)^{\top}$.

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Answer

$
\begin{aligned}
& A=\left[\begin{array}{lll}
5 & 1 & -4 \\
3 & 2 & 0
\end{array}\right] \\
& \therefore A^{\top}=\left[\begin{array}{rr}
5 & 3 \\
1 & 2 \\
-4 & 0
\end{array}\right] \\
& \therefore\left(A^{\top}\right)^{\top}=\left[\begin{array}{lll}
5 & 1 & -4 \\
3 & 2 & 0
\end{array}\right]=A
\end{aligned}
$

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