Given the linear transformation T: R - R? defined by T| a, b, e] = [a -c, c -b).Determine which of the following vectors are in the kernel of T.I(3,-5,0).II(1,2,-3).III(1,0,1).IV(-2,-2,-2)

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Given the linear transformation T: R - R* defined by T[ a , b, c)= [a – e , c-b). Determine which of the following vectors are in the kernel of T .I (3,-5,0) .II (1,2,-3) .III (1,0,1) .IV (-2,-2,-2)

Given the linear transformation T: R - R* defined by T[ a , b, c)= [a – e , c-b). Determine which of the following vectors are in the kernel of T .I (3,-5,0) .II (1,2,-3) .III (1,0,1) .IV (-2,-2,-2)

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 4CM

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Question

Given the linear transformation T: R - R? defined by T| a, b, e] = [a -c, c -b).
Determine which of the following vectors are in the kernel of T
.I
(3,-5,0)
.II
(1,2,-3)
.III
(1,0,1)
.IV
(-2,-2,-2)

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