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)

Loading...