Two linear operators T and U on a finite-dimensional vector space V are called
Chapter 5, Problem 17(choose chapter or problem)
Two linear operators T and U on a finite-dimensional vector space V are called simultaneously diagonalizable if there exists an ordered basis 0 for V such that both [T]p and [U]/? arc diagonal matrices. Similarly, A,B Mnxn ( F) are called simultaneously diagonalizable if there exists an invertible matrix Q G MnXn (F) such that both Q~l AQ and Q_ 1 BQ are diagonal matrices.
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