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If Matrix a = [1 2 3], Write Aat.

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Question

If matrix A = [1 2 3], write AAT.

Sum
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Solution

\[Given: A = \begin{bmatrix}1 & 2 & 3\end{bmatrix} \]

\[ A^T = \begin{bmatrix}1 \\ 2 \\ 3\end{bmatrix}\]

\[A A^T = \begin{bmatrix}1 & 2 & 3\end{bmatrix}\begin{bmatrix}1 \\ 2 \\ 3\end{bmatrix}\]

\[ \Rightarrow A A^T = 1 + 4 + 9\]

\[ \Rightarrow A A^T = 14\]

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Chapter 4: Algebra of Matrices - Exercise 5.6 [Page 63]

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R.D. Sharma Mathematics Volume 1 and 2 [English] Class 12
Chapter 4 Algebra of Matrices
Exercise 5.6 | Q 37 | Page 63

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