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CBSE Class 12 Math 2009 Solved Paper

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Question : 9 of 29
Marks: +1, -0
If matrix A = (1, 2, 3), write AA’, where A’ is the transpose of matrix A.
Solution:  
Given : A = [123]\begin{bmatrix}1 & 2 & 3\end{bmatrix}
∴ A' = [123]\begin{bmatrix}1 \\ 2 \\ 3\end{bmatrix}
AA' = [123]\begin{bmatrix}1 & 2 & 3\end{bmatrix} [123]\begin{bmatrix}1 \\ 2 \\ 3\end{bmatrix} = [1×1+2×2+3×3]\begin{bmatrix}1\times 1+2\times 2+3\times 3\end{bmatrix}
= [14]
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