Guided Proof Prove that if then 0 is theonly eigenvalue
Chapter 7, Problem 7.60(choose chapter or problem)
Guided Proof Prove that if then 0 is theonly eigenvalue ofGetting Started: You need to show that if there exists anonzero vector and a real number such thatthen if must be zero.(i) Because you can write as(ii) Use the fact that and the properties ofmatrix multiplication to conclude that(iii) Because is a zero matrix, you can conclude thatmust be zero
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