2 26. a. Find the scaling matrix A that transforms into -1 8 -4
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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Transcribed Image Text:Find the matrices of the linear transformations from R³ to
R' given in Exercises 19 through 23. Some of these trans-
formations have not been formally defined in the text. Use
common sense. You may assume that all these transfor-
mations are linear.
3
![2
26. a. Find the scaling matrix A that transforms
into
b. Find the orthogonal projection matrix B that trans-
[2]
forms
into
3
0.
c. Find the rotation matrix C that transforms
into
5
3
4
d. Find the shear matrix D that transforms
E into
3
e. Find the reflection matrix E that transforms
into
-5]
5](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F88167701-6d3f-46b8-9f75-5ab21a2347bf%2Fa5d39320-e9cf-4644-a38e-e03b59b6fe5b%2F88zumrc_processed.png&w=3840&q=75)
Transcribed Image Text:2
26. a. Find the scaling matrix A that transforms
into
b. Find the orthogonal projection matrix B that trans-
[2]
forms
into
3
0.
c. Find the rotation matrix C that transforms
into
5
3
4
d. Find the shear matrix D that transforms
E into
3
e. Find the reflection matrix E that transforms
into
-5]
5
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