I'm trying to prove that if A is a positive definite Hermitian matrix, <x,y>' = <Ax,y> defines an inner product.
So far I've only got
I'm having trouble with proving the rest. Any help will be greatly appreciated!
I'm trying to prove that if A is a positive definite Hermitian matrix, <x,y>' = <Ax,y> defines an inner product.
So far I've only got
I'm having trouble with proving the rest. Any help will be greatly appreciated!