# Thread: Show that λ is an eigenvalue of the B matrix iff λ is an eigenvalue of B'

1. ## Show that λ is an eigenvalue of the B matrix iff λ is an eigenvalue of B'

Show that λ is an eigenvalue of the B matrix if, and only if λ is an eigenvalue of B'

It's supposed to be really easy to show that but I guess that it is only the case when you know how to do it :P

2. Let's be clear. Please state what B' is. Notation isn't always uniform.

Is $|\lambda I - B|$ any different from $|\lambda I - B'|$

3. Originally Posted by tkhunny
Let's be clear. Please state what B' is. Notation isn't always uniform.

Is $|\lambda I - B|$ any different from $|\lambda I - B'|$
B’ is the transposed matrix of B!

4. Fair enough. Now the answer to my determinant question...

5. Originally Posted by tkhunny
Fair enough. Now the answer to my determinant question...
Oh sorry! I don't know the only thing I have is the question I wrote :/

How would it affect the answer?

6. Pick any 2x2 matrix and play with it a bit.