Answered: Let T:P2 P, be the linear…

Let T:P2 P, be the linear transformation given by T(1) = x, T(x) = -x,T(x + x²) = x². Then a basis for kerT is %3D ect one: A (1 +x , x} B. (x, x) C. (1+ x} D. (1, x} E (1, x2}

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 T: P P, be the linear transformation given by T(1) = x,
T(x) = -x,T(x +x²) = x². Then a basis for kerT is
%3D
ect one:
A. (1 +x , x}
B. (x, x)
C. (1 + x}
D. (1, x)
E (1, x2)

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