P3 = {ao + a¡t + a2t² + azt: ao, a1, a3 E R} be the vector space consisting of all polynomials of degree less than or equal to 3. Observ basis for P3, where B = {1, 1, t², t³ }. Let T : P3 → P3 be a linear transformation defined by T(ao + a¡t + azt² + azt³) = aj + 2a2 + 6azt Find the matrix representation [T]B_of T with respect to B.

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