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2 26. a. Find the scaling matrix A that transforms into -1 8 -4

2 26. a. Find the scaling matrix A that transforms into -1 8 -4

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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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
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
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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