Prove that A is normal if and only if A-A^* and A+A^* commute.© BrainMass Inc. brainmass.com February 24, 2021, 2:07 pm ad1c9bdddf
See the attachment.
is normal if and only if and commutes.
: If is normal, then there exists a unitary matrix such that ...
This is a proof regarding normal matrices.