If A = begin{bmatrix} 1 2 3 end{bmatrix},th | vedclass

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(C) Given $A = \begin{bmatrix} 1 \ 2 \ 3 \end{bmatrix}$.The transpose of matrix $A$,denoted by $A'$,is obtained by interchanging its rows and column

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$\begin{bmatrix} 1 & 2 & 3 \ 2 & 4 & 6 \ 3 & 6 & 9 \end{bmatrix}$

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(C) Given $A = \begin{bmatrix} 1 \ 2 \ 3 \end{bmatrix}$.The transpose of matrix $A$,denoted by $A'$,is obtained by interchanging its rows and columns.Thus,$A' = \begin{bmatrix} 1 & 2 & 3 \end{bmatrix}$.Now,we calculate the product $AA'$:$AA' = \begin{bmatrix} 1 \ 2 \ 3 \end{bmatrix} \begin{bmatrix} 1 & 2 & 3 \end{bmatrix} = \begin{bmatrix} 1 	imes 1 & 1 	imes 2 & 1 	imes 3 \ 2 	imes 1 & 2 	imes 2 & 2 	imes 3 \ 3 	imes 1 & 3 	imes 2 & 3 	imes 3 \end{bmatrix} = \begin{bmatrix} 1 & 2 & 3 \ 2 & 4 & 6 \ 3 & 6 & 9 \end{bmatrix}$.

If $A = \begin{bmatrix} 1 \\ 2 \\ 3 \end{bmatrix}$,then $AA' = $

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