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Please calculate T(N) for the following three approaches of matrices multiplication Nave Method Divide and Conquer Strassens Method Matrix 1 4 5 7 6 2

Please calculate T(N) for the following three approaches of matrices multiplication

  • Nave Method
  • Divide and Conquer
  • Strassens Method

Matrix 1

4 5 7 6 2 3 8 1
1 2 6 7 5 4 8 3
4 2 6 1 5 3 8 7
5 4 8 2 3 1 7 6
1 2 3 5 7 6 8 4
2 8 5 1 4 6 3 7
8 2 6 3 4 5 1 7
2 6 7 8 1 3 5 4

Matrix 2

6 1 5 4 7 2 3 8
4 2 7 8 1 5 3 6
3 1 7 5 2 6 8 4
3 8 7 1 5 6 4 2
4 1 6 8 7 5 3 2
3 1 8 4 2 6 5 7
8 1 4 5 3 6 7 2
4 1 8 5 6 3 2 7

note: T(N) for loop is defined as the number of iterations of the innerest loop. For example, the following nested loop has T(N) = 3 * 2 = 6.

for (i = 0; i < 3; i++) { for (j = 0; j < 2; j++) { // some O(1) expressions } }

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