1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Proof Hint/Help

  1. May 12, 2005 #1
    Hi everyone,

    Let T be a linear operator on nxn Matrices with real entries defined by
    T(A) = transpose(A).

    Show that +-1 are the only eigenvalues of T.

    Any tips on how to start this. I thought about writing the matrix representation relative to the standard basis, but it seemed really messy/tedious to write that out in general. Is there an easier way, or is that the only way to go?
  2. jcsd
  3. May 12, 2005 #2
    use the fact that T^2 = id
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?

Similar Discussions: Proof Hint/Help
  1. Help with a proof (Replies: 3)

  2. Help with a proof (Replies: 2)

  3. Help with a proof (Replies: 2)

  4. Help with a proof. (Replies: 5)