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Compute the indicated products.(i) [[a, ...

Compute the indicated products.(i) `[[a, b],[-b ,a]][[a,-b],[b, a]]` (ii) `[[1],[ 2],[ 3]][[2, 3 ,4]]` (iii) `[[1,-2],[ 2 ,3]]``[[1 ,2, 3],[ 2, 3 ,1]]`(iv) `[[2, 3 ,4 ],[3, 4 ,5],[ 4, 5, 6]][[1,-3, 5],[ 0, 2, 4],[ 3, 0, 5]]` (v) `[[2,1],[3,2],[-1,1]]``[[1, 0, 1],[-1, 2 ,1]]`(vi) `[[3,-1, 3],[1,0,2]]``[[2 ,-3],[ 1, 0],[ 3, 1]]`

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Let's compute the indicated products step by step for each part of the question. ### (i) Compute `[[a, b],[-b ,a]][[a,-b],[b, a]]` Let: - \( A = \begin{bmatrix} a & b \\ -b & a \end{bmatrix} \) - \( B = \begin{bmatrix} a & -b \\ b & a \end{bmatrix} \) ...
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