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Assume That the Number of Multiplications of Entries Used to Multiply

Question 53

Essay

assume that the number of multiplications of entries used to multiply a p × q and a q × r matrix is pqr.
-What is the best order to form the product ABC if A, B and C are matrices with dimensions 2 × 5, 5 × 7 and 7 × 3, respectively?

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(AB)C uses 2 · 5 · 7 + 2 · 7 ·...

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