Greeting I just need to be sure about my answers There are t

Greeting,

I just need to be sure about my answers. There are two different answers for each part and I\'m not sure which one or which the best answer should I use for parts (a and b).

Thank you for your help in advance...

3. Prove that it is true or give an example to show it is false. a) (8 pts) If A is real and is an eigenvalue of A, then so is 1 b) (8pts) If A is Hermitian and is an eigenvalue of A, then lnl is a singular value of A.

Solution

Detailed explanation are given in first and fourth answers so first and fourth answers are best answers.