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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 AAT.
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Answer

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

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