hi, i'm having trouble seeing where to even begin...
how can i show (||A||_2)^2 = p(A^T * A) for every matrix A in R^(nxn) where p is spectral radius? (A^T is transpose)
any help much appreciated. thanks!
Hi, Thank you for your reply.
I am referring to the operator matrix norm (p-norm with p=2).
I have been told that maximising |Av| is the same as maximising v'A'Av and in some way this will help me determine my answer, however, I do not see why this it is the case that they are the same or how it can help me. Help much appreciated.
If then . Take the sup over all such v to see that .
For the reverse inequality, .