Prove: If A is an n × n matrix and Ak = 0 for any k, then An = 0.
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Linear Transformations
Section6.4: Transistion Matrices And Similarity
Problem 29E
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Prove: If A is an n × n matrix and Ak = 0 for any k, then An = 0.
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