6. Determine if the linear transformation T(x1, x2, x3) (a) one-to-one (b) onto Hint: use your answer from problem 4. (2x1 - x2,-x12x2 + x3, x1- 3x2 + x3) is

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 16CM
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6. Determine if the linear transformation T(x1, x2, x3)
=
(2x1 — X2, —X1 − 2x2 + x3, x1 − 3x2 + x3) is
(a) one-to-one
(b) onto
Hint: use your answer from problem 4.
Transcribed Image Text:6. Determine if the linear transformation T(x1, x2, x3) = (2x1 — X2, —X1 − 2x2 + x3, x1 − 3x2 + x3) is (a) one-to-one (b) onto Hint: use your answer from problem 4.
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