f: R² → R2 with f(x, y) = (2x, x+y) Which statement is correct? f is NOT a linear map and it is not one to one. f is a linear map but it is not injective. f is a linear map and it is injective. Of is a NOT a linear map but it is one to one.

Elementary Linear Algebra (MindTap Course List)
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Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
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f: R² R2 with f(x, y) = (2x, x+y)
Which statement is correct?
Of is NOT a linear map and it is not
one to one.
Of is a linear map but it is not
injective.
Of is a linear map and it is injective.
f is a NOT a linear map but it is
one to one.
Transcribed Image Text:f: R² R2 with f(x, y) = (2x, x+y) Which statement is correct? Of is NOT a linear map and it is not one to one. Of is a linear map but it is not injective. Of is a linear map and it is injective. f is a NOT a linear map but it is one to one.
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