Question: Suppose that A A2 A3 are eigenvalues of the matrix 0 Answer: -2 -1 Answer: NL Answer: 2 3 0 Calculate the sum +

Suppose that A A2 A3 are eigenvalues of the matrix 0 Answer: -2 -1 Answer: NL Answer: 2 3 0 Calculate the sum + A. Let P denote the real vector space of polynomials in x with real coefficients and degree at most 2. The linear transformation T: P P is defined by T(p(x)) = xp'(x) for p(x) = P. Suppose p(x) = 5x + 2x -9, and that T(p(x)) = ax + bx. Determine a + b. 08 16 Let P denote the real vector space of polynomials in x with real coefficients and degree at most 2 with the basis a b C = d e f be the matrix B = {1, x, x}. Consider linear transformation T(p(x)) = p(x-7). Let [7] = representation of the linear transformation T in the basis B. Calculate f. g hj

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