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Question
If \[A = \begin{bmatrix}1 \\ 2 \\ 3\end{bmatrix}\] write AAT.
Sum
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Solution
\[Given: A = \begin{bmatrix}1 \\ 2 \\ 3\end{bmatrix} \]
\[ A^T = \begin{bmatrix}1 & 2 & 3\end{bmatrix}\]
\[Now, \]
\[A A^T = \begin{bmatrix}1 \\ 2 \\ 3\end{bmatrix}\begin{bmatrix}1 & 2 & 3\end{bmatrix}\]
\[ \Rightarrow A A^T = \begin{bmatrix}1 & 2 & 3 \\ 2 & 4 & 6 \\ 3 & 6 & 9\end{bmatrix}\]
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