, Prove that if A is an all-zero matrix for some k > 1, then 0 is the only eigenvalue of A.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CR: Review Exercises
Problem 65CR: Determine all nn symmetric matrices that have 0 as their only eigenvalue.
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6. Prove that if A' is an all-zero matrix for some k > 1, then 0 is the only eigenvalue of
A.
Transcribed Image Text:6. Prove that if A' is an all-zero matrix for some k > 1, then 0 is the only eigenvalue of A.
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