Let A ∈ M nxn(F). Show that A is diagonalizable if and only if At isdiagonalizable

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 32CM: Prove that if A is similar to B and A is diagonalizable, then B is diagonalizable.
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Let A ∈ M nxn(F). Show that A is diagonalizable if and only if At is
diagonalizable

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