Question: Let T: P2 P2 be define by T(a0 + a1x + a2x2) = (5a0 + 6a1 + 2a2) - (a1 + 8a2)x + (a0

Let T: P2 → P2 be define by
T(a0 + a1x + a2x2) = (5a0 + 6a1 + 2a2) - (a1 + 8a2)x + (a0 - 2a2)x2
(a) Find the eigenvalues of T.
(b) Find bases for the eigenspaces of T.

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