Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Multiple eigenbasis?

  1. Feb 21, 2010 #1
    Hi guys

    Is it possible for a matrix to have more than one eigenbasis?

  2. jcsd
  3. Feb 21, 2010 #2


    User Avatar
    Gold Member

    The eigenbasis isn't unique.

    I would say the eigenbasis is unique up to orthonormalization in inner product spaces.
  4. Feb 21, 2010 #3
    For the identity matrix and its scalar multiples every basis is an eigen basis.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook