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10 points) What is the best way to multiply a chain of matrices with dimensions that are 10 × 5, 5×2, 2×20, 20×12, 12×4, and 4×60? Show your work (including two tables - one indicating the index k which gives the final multiply index for each subproblem, and the second table which indicates the optimal number of multiplications for each subproblem).

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