Let the transformation of P2 -> P1 be defined as T(p(t)) = p'(t). The basis B = {1,t,t^2} and S = {1,t}. find the matrix M associated with T, then compute T(p(t)) if p(t) = 7t^2-5t+2.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Linear Transformations
Section6.3: Matrices For Linear Transformations
Problem 52E: Let T be a linear transformation T such that T(v)=kv for v in Rn. Find the standard matrix for T.
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Let the transformation of P2 -> P1 be defined as T(p(t)) = p'(t).

The basis B = {1,t,t^2} and S = {1,t}. find the matrix M associated with T, then compute T(p(t)) if p(t) = 7t^2-5t+2.

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