Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 15CM
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How do you prove this?
![{v € V : T(v) = v} and
Question 5. Let T : V → V be a linear operator satisfying T2 = T. Define U1
U2 = {v € V : T(v) = 0}. Prove that V = U1 O U2.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F00a36e43-9245-43a1-882d-d77740296736%2Fc2e636d6-12a1-42ff-b98e-46ea8b078d73%2F1mg9uu_processed.png&w=3840&q=75)
Transcribed Image Text:{v € V : T(v) = v} and
Question 5. Let T : V → V be a linear operator satisfying T2 = T. Define U1
U2 = {v € V : T(v) = 0}. Prove that V = U1 O U2.
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