Question
Show that the number of additions performed by Algorithm 1.4 (Matrix Multiplication) can be reduced to $n^{3}-n^{2}$ after a slight modification of this algorithm.
Step 1
4 (Matrix Multiplication) is as follows: Show more…
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Show that more than $n !=1 \cdot 2 \cdot 3 \cdot \ldots \cdot n$ multiplications are required to compute the determinant of an $n \times n$ matrix by Laplace expansion (for $n>2$ ).
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