nain of T is R" and the codomain is R', what are the values nsformation one-to-one? Briefly say why or wyhy pot

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 12CM
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Let matrix A =| v, V2
Let the transformation T be defined by T(x) = Ax. Answer the following questions.
Vg where each v, E R? . Matrix A has seven pivot positions.
...
(a) The domain of T is R“ and the codomain is R', what are the values of a and b?
(b) Is the transformation one-to-one? Briefly say why or why not.
(c) Is the transformation onto? Briefly say why or why not.
Transcribed Image Text:Let matrix A =| v, V2 Let the transformation T be defined by T(x) = Ax. Answer the following questions. Vg where each v, E R? . Matrix A has seven pivot positions. ... (a) The domain of T is R“ and the codomain is R', what are the values of a and b? (b) Is the transformation one-to-one? Briefly say why or why not. (c) Is the transformation onto? Briefly say why or why not.
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