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Hermitian Adjoint

  1. Oct 19, 2008 #1


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    Hello, I'm a little bit confused regarding Hermitian Adjoint. I want to show that <x,y> = A(x,y) is an inner product where the function A : V*V --> V be defined as A(x,y) = x^T*A_hat*y. A_hat = [2 1 0; 1 4 1; 0 1 4].

    How would i go about showing that <x,y> = A(x,y) is an inner product?

    Note that <,> represents inner product
  2. jcsd
  3. Oct 19, 2008 #2


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    What are some properties of A(x,y) being an inner product that you would have to show? You really have to show some work first.
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