Hi all!(adsbygoogle = window.adsbygoogle || []).push({});

I was wondering what the necessary condition is for two arbitrary matrices, say A and B, to commute: AB = BA.

I know of several sufficient conditions (e.g. that A, B be diagonal, that they are symmetric and their product is symmetric etc), but I can't think of a necessary one.

Thanks in advance!

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

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

# What is the necessary condition for matrix commutation?

Loading...

Similar Threads - necessary condition matrix | Date |
---|---|

A Reality conditions on representations of classical groups | Jan 29, 2018 |

Necessary But Not Sufficient Check For Addition | Nov 21, 2011 |

Product Of Ideals - Why is the sum necessary? | Mar 22, 2010 |

Another necessary condition for Positive Semidefiniteness? | Jun 26, 2009 |

Necessary and sufficient condition | May 9, 2004 |

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