Show that if 1 and 2 are eigenvalues of any matrix A, and if 1 = 2, then the

Chapter 7, Problem 34

(choose chapter or problem)

Show that if 1 and 2 are eigenvalues of any matrix A, and if 1 = 2, then the correspondingeigenvectors x(1) and x(2) are linearly independent.Hint: Start from c1x(1) + c2x(2) = 0; multiply by A to obtain c11x(1) + c22x(2) = 0. Thenshow that c1 = c2 = 0.

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

×

Login

Login or Sign up for access to all of our study tools and educational content!

Forgot password?
Register Now

×

Register

Sign up for access to all content on our site!

Or login if you already have an account

×

Reset password

If you have an active account we’ll send you an e-mail for password recovery

Or login if you have your password back