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Assume data cache is fully associative with 60 lines, each line can hold 10 doubles, the replacement rule is least recently used first, matrix elements are doubles, and n=4000. What is the total number of read cache misses for each matrix in each of the following three matrix multiplication algorithms? Implement these algorithms and verify the correctness of your implementation by checking the maximum error in the matrix C. Compile your code using gcc without any optimization flag and run your executables at any computer you can access. Rank the execution times and explain why the execution times are different.

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