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Use homogeneous coordinates to complete the following tasks. (a) Create a transformation matrix T that rotates points by 45° about the y-axis centered at the point (2, 1, 2). (b) Show the result of this transform by computing and plotting T(x), where x = (-4, 1,2).

Use homogeneous coordinates to complete the following tasks. (a) Create a transformation matrix T that rotates points by 45° about the y-axis centered at the point (2, 1, 2). (b) Show the result of this transform by computing and plotting T(x), where x = (-4, 1,2).

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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3. Use homogeneous coordinates to complete the following tasks. (a) Create a transformation matrix T that rotates points by 45° about the y-axis centered at the point (2, 1, 2). (b) Show the result of this transform by computing and plotting T(x), where x = (-4, 1,2).
Transcribed Image Text:3. Use homogeneous coordinates to complete the following tasks. (a) Create a transformation matrix T that rotates points by 45° about the y-axis centered at the point (2, 1, 2). (b) Show the result of this transform by computing and plotting T(x), where x = (-4, 1,2).
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