Question: Let ALG1 and ALG2 be two matrix algorithms. Suppose that ALG1 is an algorithm of O(n2) and ALG2 is an algorithm of O(n3). Also assume

Let ALG1 and ALG2 be two matrix algorithms. Suppose that ALG1 is an algorithm of O(n2) and ALG2 is an algorithm of O(n3). Also assume that the only factor that determines the speed of these algorithms is the number of flops. Explain why ALG1 does not necessarily run faster than ALG2 when they are applied to a 3 3 matrix.

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To determine why ALG1 which is On does not necessarily run faster than ALG2 which is On when applied to a 3x3 matrix we need to delve into the nature ... View full answer

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