If A= [ cc 7 & -3 -5 & 2 3 & -5 ] then find the transpose of -A - Vidyadip

Question

If $A=\left[\begin{array}{cc}\sqrt{7} & -3 \\ -\sqrt{5} & 2 \\ \sqrt{3} & -5\end{array}\right]$ then find the transpose of $-A$

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Answer

$
\begin{aligned}
& A=\left[\begin{array}{cc}
\sqrt{7} & -3 \\
-\sqrt{5} & 2 \\
\sqrt{3} & -5
\end{array}\right] \\
& -A=\left[\begin{array}{cc}
-\sqrt{7} & 3 \\
\sqrt{5} & -2 \\
-\sqrt{3} & 5
\end{array}\right]
\end{aligned}
$

Transpose of $- A =\left(- A ^{\top}\right)$
$
=\left[\begin{array}{ccc}
-\sqrt{7} & \sqrt{5} & -\sqrt{3} \\
3 & -2 & 5
\end{array}\right]
$

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