Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
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

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.6: Introduction To Linear Transformations
Problem 55EQ
See similar textbooks
icon
Related questions
Question
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
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS