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Show that (i) [[5,-1],[ 6 ,7]][[2, 1],[ ...

Show that
(i) `[[5,-1],[ 6 ,7]][[2, 1],[ 3 ,4]]!=[[2, 1],[ 3, 4]][[5,-1],[ 6, 7]]`
(ii) `[[1, 2, 3],[ 0, 1, 0],[ 1, 1, 0]][[-1, 1, 0],[ 0,-1, 1],[ 2, 3, 4]]!=[[-1, 1, 0],[ 0,-1, 1],[ 2, 3, 4]][[1 ,2 ,3],[ 0, 1, 0],[ 1, 1, 0]]`

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To show that the products of the given matrices are not equal, we will perform the matrix multiplication for both cases and compare the results. ### Part (i) Given matrices: \[ A = \begin{bmatrix} 5 & -1 \\ 6 & 7 \end{bmatrix}, \quad B = \begin{bmatrix} 2 & 1 \\ 3 & 4 \end{bmatrix} \] We need to compute \( AB \) and \( BA \). ...
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