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Assume That the Number of Multiplications of Entries Used to Multiply

Question 54

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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 8 × 3, 3 × 6 and 6 × 12, respectively?

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(AB)C uses 8·3·6+8·6...

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