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Algebra of Matrices — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsAlgebra of Matrices2 Marks
Question
If matrix $A = [1 2 3]$, write $AA^T$.
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Answer

Given: $A = [1 2 3]$
$\text{A}^{\text{T}}=\begin{bmatrix}1\\2\\3 \end{bmatrix}$
$\text{AA}^{\text{T}}=\begin{bmatrix}1&2&3 \end{bmatrix}\begin{bmatrix}1\\2\\3 \end{bmatrix}$
$\Rightarrow AA^T= 1 + 4 + 9$
$\Rightarrow AA^T= 14$

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