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Show that 5 multiplications are sucient to compute the square of a 22 matrix. (5pts) (b) What is wrong with the following algorithm for computing the square of an nn matrix? (5pts) Use a divide-and-conquer approach as in Strassen's algorithm, except that instead of getting 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 Strassen's algorithm, we can conclude that the algorithm runs in time O(nlog2 5).

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