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## Main Question or Discussion Point

How do computers evaluate determinants of large matrices? The cofactor method seems like it would be too time consuming. Does anyone know?

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How do computers evaluate determinants of large matrices? The cofactor method seems like it would be too time consuming. Does anyone know?

matt grime

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[tex] det(A) = \sum_{{i}_1, {i}_2,...,{i}_n = 1}^{N} \epsilon_{{i}_1, {i}_2,...,{i}_n} a_{{i}_1, 1} \cdot a_{{i}_2, 2} \cdot \cdot \cdot a_{{i}_n, N} [/tex]

Cumbersome and inefficient for a computer algorithm?

Hurkyl

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Well, how much work is it? You do n multiplications how many times?

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Yeah didn't work that one out before

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MATLAB's

MATLAB's

matt grime

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