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Matrices — MATHS STD 12 Science — Question

Rajasthan BoardEnglish MediumSTD 12 ScienceMATHSMatrices1 Mark
Question
If a matrix $A=\left[\begin{array}{lll}1 & 2 & 3\end{array}\right]$, then the matrix $A A^{\prime}\  ($where $A^{\prime}$ is the transpose of $A )$ is
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Answer

$A=\left[\begin{array}{lll}1 & 2 & 3\end{array}\right]$
$A^{\prime}=\left[\begin{array}{l}1 \\ 2 \\ 3\end{array}\right]$
So, $A A^{\prime}=\left[\begin{array}{lll}1 & 2 & 3\end{array}\right]\left[\begin{array}{l}1 \\ 2 \\ 3\end{array}\right]$
$=[1+4+9]$
$=[14]$

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