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MMLU / If v is an eigenvector of an invertible matrix A, then which of the following is…

Problem

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question

If v is an eigenvector of an invertible matrix A, then which of the following is I are necessarily
true?
I. v is also an eigenvector of 2A.
II. v is also an eigenvector of A^2.
III. v is also an eigenvector of A^(-1).

choices

  1. I only
  2. II only
  3. III only
  4. I, II, and III

subject

college_mathematics

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