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Give the number of flops required to evaluate a product of three matrices X = ABC, where A is n n, B is n 10,
Give the number of flops required to evaluate a product of three matrices
X = ABC,
where A is n n, B is n 10, and C is 10 n. You can evaluate the product in two possible ways.
(a) From left to right, as X = (AB)C.
(b) From right to left, as X = A(BC).
Which method is faster for large n?
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