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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) =

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) =

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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