Let V be a vector space, and T :V → V a linear transformation such that T(501 + 302) = 4®1 – 402 and T(301 + 202) = 201 + 402. Then T(01) = v2, T(02) = v2. T(201 – 202) =

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 5CM: Find the kernel of the linear transformation T:R4R4, T(x1,x2,x3,x4)=(x1x2,x2x1,0,x3+x4).
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Let V be a vector space, and T : V
→ V a linear transformation such that
T(501 + 302) = 401 – 402 and T(301 + 202) = 201 + 402. Then
-
T(0,) =
v2,
T(02) =
T(201 – 202) =
Transcribed Image Text:Let V be a vector space, and T : V → V a linear transformation such that T(501 + 302) = 401 – 402 and T(301 + 202) = 201 + 402. Then - T(0,) = v2, T(02) = T(201 – 202) =
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