The frobenius norm (which I know is not a natural norm)is defined for an n x n matrix A by
||A||_f = (sum i=1 to n, sum j=1 to n, |a_ij|^2)^1/2
Please show that ||.||_f is a matrix norm. That is, satisfy the five axioms.
NOte: _ is subscript.© BrainMass Inc. brainmass.com March 4, 2021, 6:05 pm ad1c9bdddf
This solution a proof regarding Frobenius norms and matrix norms.