Assume the mapping T: P2 P2 defined by Is linear. Find the matrix representation of T relative

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Assume the mapping T: P2 †’ P2 defined by
T(a, + aịt + azt?) = 3a0 + (5a, – 2a1)t + (4a1 + a2)t? %3D

Is linear. Find the matrix representation of T relative to the basis B = [1, t, t2].

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