Question: Let T: Pilx]- Pilx] be defined by T(a + bx) = 2a -bx. Let B1 = (1, x} and B2= {-1, 1 + x]. (a)

Let T: Pilx]- Pilx] be defined by T(a + bx) = 2a -bx. Let B1 = (1, x} and B2= {-1, 1 + x]. (a) Find the matrix [7]s, for T with respect to the basis By. (b) Find the matrix s, for T with respect to the basis B2. (c) Find the transition matrix M from B2 to B1. (d) Verify that B, = M '[T]B, M

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