Let {v1, v2, ..., v15} be an ordered basis for V = C15. If T is a linear transformation on V defined by T(vi) = vi+1 for 1 ≤ i ≤ 14 and T(v15) = -(v1 + v2 + ... + v15), then:

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Mathematics · Linear Algebra

Verified Solution4 OptionsUpdated: October 2026👁️1 View

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T is regular but has no rational eigenvalues

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Answer 1

T is singular with rational eigenvalues

Answer 2

T is singular but has no rational eigenvalues

Answer 3

T is regular (invertible) with rational eigenvalues

Answer 4

T is regular but has no rational eigenvalues

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