Consider an eigenvalue k of an n x n matrix A. We know that k is an eigenvalue of AT as
Chapter 7, Problem 32(choose chapter or problem)
Consider an eigenvalue k of an n x n matrix A. We know that k is an eigenvalue of AT as well (since A and AT have the same characteristic polynomial). Compare the geometric multiplicities of k as an eigenvalue of A and AT.
Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.
Becoming a subscriber
Or look for another answer