# Frobenius norm and trace of matrix

Given a real, symmetric and positive-definite matrix G. G' = transposed matrix of G

Please, could you tell me which class of matrices that satisfy: Frobenius norm of G = [trace(GG')]^1/2 = trace[(GG')^1/2]

Thanks

• If $G$ is symmetric, then $G = G'$... – amsmath Oct 30 '17 at 22:45
• You should try to savage the answer to your last question. If you need a hint: rank $1$ matrices. – user251257 Oct 30 '17 at 22:57