- #1
vjk2
- 90
- 0
for a 3 x 3 matric of values
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.
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.