Let L: P2 → P3 be a linear transformation for which we know that -L(1) = 1 , L(t) = t² , and L(t²) = t³ + 1(a)Find L(2t2 - 5t + 3)(b)Find L(at? + bt + c)

Here we use the property of linear transform .

Answered: Let L: P2 → P3 be a linear…

Let L: P2 → P3 be a linear transformation for which we know that - L(1) = 1, L(t) = t² , and L(t?) = t + 1 (a) Find L(2t2 - 5t + 3) (b) Find L(at? + bt + c)

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 44E: Let T:P2P4 be the linear transformation T(p)=x2p. Find the matrix for T relative to the bases...

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Question

Let L: P2 → P3 be a linear transformation for which we know that -
L(1) = 1 , L(t) = t² , and L(t²) = t³ + 1
(a)
Find L(2t2 - 5t + 3)
(b)
Find L(at? + bt + c)

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