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    Linear Algebra : Hermitian Similar Matrices

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    Suppose A & B are Hermitian matrices and AB=BA, show that A and B are simultaneously diagonalizable, ie, there exists an unitary matrix C so that both C*AC adn C*BC are diagonal.

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    Hi there!
    Thank you for posting your question to Brainmass!

    What you actually want to show is that A and B share the same eigenvectors. since B and a are hemitians, the matrix that is constructed from these eiegenvectors will diagonalize them both.

    An eigen vector is defined as:


    Where I is the identity ...

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