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.

**Physics Forums - The Fusion of Science and Community**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# A Determinant's relation to permutations

Loading...

Similar Threads - Determinant's relation permutations | Date |
---|---|

A The meaning of the commutator for two operators | Jan 9, 2018 |

B Why the hate on determinants? | Jun 9, 2017 |

I Proving a result about invertibility without determinants | Feb 27, 2017 |

I Using determinant to find constraints on equation | Jan 15, 2017 |

A Exterior Algebra Dual | Jul 6, 2016 |

**Physics Forums - The Fusion of Science and Community**