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.© BrainMass Inc. brainmass.com February 24, 2021, 2:35 pm ad1c9bdddf
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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 ...
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.