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Matrices

Question

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If matrix A = (1, 2, 3), write AA’, where A’ is the transpose of matrix A.

Solution

Given: A = [ 1 2 3 ]

$∴ A' = [\begin{matrix} 1 \\ 2 \\ 3 \end{matrix}] AA' = [\begin{matrix} 1 & 2 & 3 \end{matrix}] [\begin{matrix} 1 \\ 2 \\ 3 \end{matrix}] = [1 x 1 + 2 x 2 + 3 x 3] = [14]$

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Matrices

If matrix A = (1, 2, 3), write AA’, where A’ is the transpose of matrix A.

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