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Use the matrices that you found in part (a) to show that the linear transformation f = kohog is represented by the matrix 0 2 ^= (²3) G A 7 8

Use the matrices that you found in part (a) to show that the linear transformation f = kohog is represented by the matrix 0 2 ^= (²3) G A 7 8

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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Answers from part a attached
08:54 1 ← Step2 b) For 9(x, y)=(7x, 2y) g(1,0)=(7, 0) and g(0,1)=(0, 2) So the required matrix is A = g(1,0)=(1, 0) and g(0,1)=(0, 1) So the required matrix is A = So this is stretching linear transformation. For h(x, y)=(x + 4y, y) g(1,0)=(0, 1) and g(0,1)=(1, 0) 7 02 01 So this is shearing linear transformation. For k(x, y)=(y, x) So the required matrix is A = = ((. 0 [!] 1 So this is projection linear transformation. ? √x DO 8
Transcribed Image Text:08:54 1 ← Step2 b) For 9(x, y)=(7x, 2y) g(1,0)=(7, 0) and g(0,1)=(0, 2) So the required matrix is A = g(1,0)=(1, 0) and g(0,1)=(0, 1) So the required matrix is A = So this is stretching linear transformation. For h(x, y)=(x + 4y, y) g(1,0)=(0, 1) and g(0,1)=(1, 0) 7 02 01 So this is shearing linear transformation. For k(x, y)=(y, x) So the required matrix is A = = ((. 0 [!] 1 So this is projection linear transformation. ? √x DO 8
(b) Use the matrices that you found in part (a) to show that the linear transformation f = kohog is represented by the matrix Questio 0 2 A- (93) = 8
Transcribed Image Text:(b) Use the matrices that you found in part (a) to show that the linear transformation f = kohog is represented by the matrix Questio 0 2 A- (93) = 8
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