Hi everyone,(adsbygoogle = window.adsbygoogle || []).push({});

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?

**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!

# Proof Hint/Help

Loading...

Similar Threads - Proof Hint Help | Date |
---|---|

A Is the proof of these results correct? | Jan 29, 2018 |

I Doubt about proof on self-adjoint operators. | Nov 11, 2017 |

I Addition of exponents proof in group theory | Sep 2, 2017 |

Isomorphism proof help/hint | Mar 6, 2005 |

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