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!

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- Dec 2nd 2009, 12:11 AMwatersparkpositive definite matrix and inner products
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! - Dec 2nd 2009, 02:49 AMtonio