for a 3 x 3 matric of values(adsbygoogle = window.adsbygoogle || []).push({});

a11 a12 a13

b21 b22 b23

c31 c32 c33

the determinant will be a11a22a33+a12a23a31+a13a21a32-a13a22a31-a12a21a33-a11a23a32

the last three are negative because they are odd permutations. The first three are even permutations

A permutation apparently is found by the number that are out of order, order being 1,2,3,4 increasing.

4,2,1,3 would result in a 2+1=3 permutation I believe.

How does all of this fit together? I do not understand why permutations matter in relation to the determinant, which fits into the inverse and so on.

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# A Determinant's relation to permutations

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