4 If T : R2 → R2 is a linear transformation which has T(e1) = T(e2), then AT has eigenvalue 0.

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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4 If T : R2 → R2
is a linear transformation which has T(e1) = T(e2), then AT has
eigenvalue 0.

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