+(E)-E X1 +x2 Let the transformation T be given by T X2 %3D 2.x1 (a) Show that T is a linear transformation by finding a matrix that implements the mapping. (b) Show that the mapping is not onto by finding a vector in the codomain of T that is not in the range of T. Verify/show that your vector is not in the range of T.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
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Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 4CM
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* (E)-E
x1 +x2
Let the transformation T be given by T
X2
%3D
2.x1
(a) Show that T is a linear transformation by finding a matrix that implements the mapping.
(b) Show that the mapping is not onto by finding a vector in the codomain of T that is not in
the range of T. Verify/show that your vector is not in the range of T.
Transcribed Image Text:* (E)-E x1 +x2 Let the transformation T be given by T X2 %3D 2.x1 (a) Show that T is a linear transformation by finding a matrix that implements the mapping. (b) Show that the mapping is not onto by finding a vector in the codomain of T that is not in the range of T. Verify/show that your vector is not in the range of T.
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