Algorithms and which one is faster Explain Strassens algorit

Algorithms and which one is faster. Explain:

Strassen\'s algorithm for matrix multiplication. theta(n^Ig(7)), will always run faster than a naive matrix multiplication algorithm. theta(n^3), regardless of the size of the input. True False

Solution

True, Strassens algorithm always run faster than a naïve matrix multiplication algorithm.

lg(7) = 2.81 is less than 3

Therefore time required for Strassen\'s algorithm takes less time than naïve matrix multiplication algorithm

Algorithms and which one is faster. Explain: Strassen\'s algorithm for matrix multiplication. theta(n^Ig(7)), will always run faster than a naive matrix multipl

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