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5. Let X be a kn x n matrix and Y by an n x kn matrix, for some integer k. (a) Describe an

  

5. Let X be a kn x n matrix and Y by an n x kn matrix, for some integer k. (a) Describe an algorithm that computes the product XY using Strassen's algorithm as a subroutine, i.e., use it as a black-box without modi- fying it. Only describe your algorithm in words; pseudo-code is not required. Justify your answer, i.e., argue that your algorithm does compute XY correctly. Establish its running time. (b) Repeat part (a) for computing the product YX.

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