f(x, y) = (-x – 2y, x – 4y).

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 f : R? → R² be the linear transformation defined by f(x, y) = (-x – 2y, x – 4y).
a. Find the matrix of the linear transformation f.
f(x, y) =
b. The linear transformation f is
injective
surjective
bijective
none of these
c. If f is bijective, find the matrix of its inverse. If f is not bijective, enter DNE in every answer
blank.
f-'(x, y) =
Transcribed Image Text:Let f : R? → R² be the linear transformation defined by f(x, y) = (-x – 2y, x – 4y). a. Find the matrix of the linear transformation f. f(x, y) = b. The linear transformation f is injective surjective bijective none of these c. If f is bijective, find the matrix of its inverse. If f is not bijective, enter DNE in every answer blank. f-'(x, y) =
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