Let L be the linear transformation from R2 R? which is a reflection in the horizontal axis followed by a scaling by the factor 8. (i) What is the matrix A of L? A = (ii) Is L shape preserving? (No answer given) + (iii) Does L preserve orientation? (No answer given) (iv) Is L injective? (No answer given) (v) Compute the pre-image of the point (8, 16) under L. L-(8, 16) =

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 L be the linear transformation from R2 → R² which is a reflection in the horizontal axis followed by a scaling by the factor 8.
(i) What is the matrix A of L?
A =
(ii) Is L shape preserving? (No answer given) =
(iii) Does L preserve orientation? (No answer given)
(iv) Is L injective? (No answer given)
(v) Compute the pre-image of the point (8, 16) under L.
L-(8, 16) =
%3D
Transcribed Image Text:Let L be the linear transformation from R2 → R² which is a reflection in the horizontal axis followed by a scaling by the factor 8. (i) What is the matrix A of L? A = (ii) Is L shape preserving? (No answer given) = (iii) Does L preserve orientation? (No answer given) (iv) Is L injective? (No answer given) (v) Compute the pre-image of the point (8, 16) under L. L-(8, 16) = %3D
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