Mathematics · Linear Algebra

Let V be the real vector space of real polynomials in one variable with degree less than or equal to 10 (including the zero polynomial). Let T : V → V be the linear map defined by T(p) = p', where p' denotes the derivative of p. Which of the following statements is correct?

Verified Solution4 OptionsUpdated: October 2026👁️1 View

Correct answer

All the eigenvalues of T are equal to 0

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Let V be the real vector space of real polynomials in one variable with degree less than or equal to 10 (including the zero polynomial). Let T : V &rarr; V be the linear map defined by T(p) = p', where p' denotes the derivative of p. Which of the following statements is correct?