. Let T: P₂ P₂ be the linear transformation given by the formula T(p(x)) = p(2x + 1). (a) Find a matrix for T relative to the basis B = {1, x, x²}. (b) Find the rank and nullity of T. (c) Use the result in (b) to determine whether T is one-to-one.

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A: Te1=1,3Te2=-5,4Te3=3,-2

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Q: (b) Let T: R³ R³ be a linear transformation such that: 2 2 0 · (D) - [B] (AD) - [3³] (¦ D-[G] E T 4…

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