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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb4f3c4ec-fe5b-4d14-92c7-f03ecdbdce74%2F8165fd53-974d-4815-94b7-2546c69750c1%2Fajdht7q_processed.jpeg&w=3840&q=75)
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
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
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
