Question: Let L: P2 P2 be defined by L(at2 + bt + c) = ct + b. (a) Find the matrix representing L with respect

Let L: P2 → P2 be defined by L(at2 + bt + c) = ct + b.
(a) Find the matrix representing L with respect to the basis S = (t2, 2 + t, 2 - t}.
(b) Find the eigenvalues and associated eigenvectors of L?

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