# 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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Hermitian Similar Matrices are investigated. The solution is detailed and well presented. The response received a rating of "5" from the student who posted the question.

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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:

(A-wI)v=0

Where I is the identity ...

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