Let P3 be the vector space of polynomials of degree at most 3, with real coefficients. Consider the linear transformation T: P3 →>> P3 given by T(p(x)) = p(x - 2). For example, T(x² + 1) = (x − 2)² + 1 = x² - 4x + 5. (a) Compute the following polynomials: T(1) = T(x) = T(x²) = T(x³) = T(x² + 2x) = (b) Find the matrix of T with respect to the basis B = { 1, x, x², x³}. [T] B,B

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