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Strassen's matrix multiplication algorithm follows .................................................. technique.

Question

Strassen's matrix multiplication algorithm follows .................................................. technique.

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Solution

Strassen's matrix multiplication algorithm follows the divide and conquer technique.

Here are the steps:

  1. Divide: The given matrices A and B of size n x n are divided into eight sub-matrices of size n/2 x n/2.

  2. Conquer: Seven multiplications recursively on the sub-matrices are performed, which are smaller instances of the same problem. This is a recursive step.

  3. Combine: The results of the seven multiplications are added or subtracted appropriately to form the product matrix.

This algorithm reduces the number of recursive multiplication calls from 8 to 7 compared to the standard divide and conquer algorithm for matrix multiplication.

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