Question: This is my question. Q1 (3 points) Consider the linear transformation T: P2 (C) -> P2 (C) given by T(a + bx + cx2) =

This is my question.

Q1 (3 points) Consider the linear transformation T: P2 (C) -> P2 (C) given by T(a + bx + cx2) = 5a - 46 - 2c + (-4a + 56 - 2c)x + (-2a - 26 + 8c)x2. Find a basis B of P2 (C) such that [T] - D, where D is a diagonal matrix. Write down the matrix D in this case

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