Consider the linear map T: Pn(R) → Pn (R) such that T(p(x)) = x·p'(x) for every p(x) = P₁ (R). Select all the correct options. 0, 1, 2,..., nare the eigenvalues of T The eigenspace associated to each eigenvalue X = iis span (x¹) For each eigenvalue, the algebraic and geometric multiplicities are equal Tis diagonalisable

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A: A detailed solution is given below.

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