• I
Hello everyone, I have a question. I'm not sure if it is trivial. Does anyone have ideas of finding a matrix ##A\in M_n(\mathbb{C})##, where ##A## is normal but not self-adjoint, that is, ##A^*A=AA^*## but ##A\neq A^*?##

DrDu
I think every normal matrix can be written as A+iB where A and B are commuting hermitian matrices.

tommyxu3
That's a really good idea, thanks a lot!!

micromass
Staff Emeritus