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4. The square of a matrix A is its product with itself, AA.(a) Show that five multiplications are sufficient to compute the square of a 2 × 2 matrix.(b) Is the following a valid algorithm for computing the square of an n×n matrix? If yes,briefly illustrate its working. If not, explain why."Use a divide-and-conquer approach as in Strassen's algorithm, except that instead ofgetting 7 subproblems of size n = 2, we now get 5 subproblems of size n = 2 thanks to part(a). Using the same analysis as in

4. The square of a matrix A is its product with itself, AA.(a) Show that five multiplications are sufficient to compute the square of a 2 × 2 matrix.(b) Is the following a valid algorithm

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