Problem 15.2. Let A be any complex n X n matrix. Prove that if A has the eigenvalue 0 with multiplicity n, then A" = 0. Give an example of a matrix A such that A" = 0 but A 0

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Problem 15.2. Let A be any complex n X n matrix. Prove that if A has the eigenvalue
0 with multiplicity n, then A" = 0. Give an example of a matrix A such that A" = 0 but
A 0
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Problem 15.2. Let A be any complex n X n matrix. Prove that if A has the eigenvalue 0 with multiplicity n, then A" = 0. Give an example of a matrix A such that A" = 0 but A 0

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