Problem 5: Matrix Multiplication Many times in this course we have encountered matrix multiplication. [a] Describe a brute-force approach to matrix multiplication and what is its time complexity? [b] Describe a better divide-and-conquer approach to matrix multiplication and what is its time complexity? [c] Describe an even better parallelized approach to matrix multiplication and what is its time complexity? [d] Describe a randomized approach to the verification of matrix multiplication and what is its time complexity? [e] Explain how matrix multiplication can be used to compute the transitive closure of a graph and what is its time complexity?

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