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Determinants and Matrices — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsDeterminants and Matrices1 Mark
Question
If $A=\left[\begin{array}{lll}5 & 1 & -1 \\ 3 & 2 & 0\end{array}\right]$, find $\left(A^{\top}\right)^{\top}$.
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Answer

$\begin{aligned} A & =\left[\begin{array}{ccc}5 & 1 & -1 \\ 3 & 2 & 0\end{array}\right] \\ \therefore \quad A^{\mathrm{T}} & =\left[\begin{array}{cc}5 & 3 \\ 1 & 2 \\ -1 & 0\end{array}\right]\end{aligned}$

$\therefore \quad\left(\mathrm{A}^{\mathrm{T}}\right)^{\mathrm{T}}=\left[\begin{array}{ccc}5 & 1 & -1 \\ 3 & 2 & 0\end{array}\right]$

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