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Each of J, K, L, M and N is a linear transformation from R2 to R2. These functions are given as follows: J(x1, x2) = (3x1 – 5x2, –6x1 + 10x2), K(x1, x2) = (-/3x2, /3x1), L(x1, x2) = (x2, – x1), M(x1, x2) = (3x1 + 5x2, 6x1 – 6x2), N(x1,x2) = (-V5x1, v5x2).

Each of J, K, L, M and N is a linear transformation from R2 to R2. These functions are given as follows: J(x1, x2) = (3x1 – 5x2, –6x1 + 10x2), K(x1, x2) = (-/3x2, /3x1), L(x1, x2) = (x2, – x1), M(x1, x2) = (3x1 + 5x2, 6x1 – 6x2), N(x1,x2) = (-V5x1, v5x2).

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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Each of J, K, L, M and N is a linear transformation from R2 to R². These functions are given as follows: J(x1, x2) = (3x1 – 5x2, –6x1 + 10x2), K(x1, x2) = (-V3x2, V3x1), L(x1, x2) = (x2, –x1), M(x1, x2) = (3x1+ 5x2, 6x1 – 6x2), N(x1, x2) = (-V5x1, /5x2).
Transcribed Image Text:Each of J, K, L, M and N is a linear transformation from R2 to R². These functions are given as follows: J(x1, x2) = (3x1 – 5x2, –6x1 + 10x2), K(x1, x2) = (-V3x2, V3x1), L(x1, x2) = (x2, –x1), M(x1, x2) = (3x1+ 5x2, 6x1 – 6x2), N(x1, x2) = (-V5x1, /5x2).
(d) One of these functions involves a reflection over the vertical axis and a rescaling. Which is it? (No answer given) + (e) Two of these function preserve orientation. Which are they? J OL M ON
Transcribed Image Text:(d) One of these functions involves a reflection over the vertical axis and a rescaling. Which is it? (No answer given) + (e) Two of these function preserve orientation. Which are they? J OL M ON
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