Define the linear transformation T : P2 → P2 according to T (p(x)) = p(2x − 5). (a) Compute the value of T (4 − 3x + 2x^2 ) directly. (b) Find [T ]B with respect to the basis B = {1, x, x^2}.  (c) Use [T]B to compute the value of T(4 − 3x + 2x^2). Please provide details in each step

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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  1. Define the linear transformation T : P2 → P2 according to T (p(x)) = p(2x − 5).

    (a) Compute the value of T (4 − 3x + 2x^2 ) directly.
    (b) Find [T ]B with respect to the basis B = {1, x, x^2}. 

    (c) Use [T]B to compute the value of T(4 − 3x + 2x^2).

Please provide details in each step

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