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10. In one of the videos from the discussion thread, it talked about doing a transformation T: R² → R² defined by T(x) = Ax for A = [0.5 0.5 a. Demonstrate this transformation by applying it to a square. Draw a graph with the original square and the transformed square plotted. b. I want to know how this transformation affects the area of the shape. I want to answer this question in general, like "the transformation will multiply the area by 100." I can think of at least two ways to accomplish this: one having to do with elementary matrices, and one having to do with the eigenvalue/eigenvector problem. Answer the question for me and explain why your method works.

10. In one of the videos from the discussion thread, it talked about doing a transformation T: R² → R² defined by T(x) = Ax for A = [0.5 0.5 a. Demonstrate this transformation by applying it to a square. Draw a graph with the original square and the transformed square plotted. b. I want to know how this transformation affects the area of the shape. I want to answer this question in general, like "the transformation will multiply the area by 100." I can think of at least two ways to accomplish this: one having to do with elementary matrices, and one having to do with the eigenvalue/eigenvector problem. Answer the question for me and explain why your method works.

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter87: An Introduction To G- And M-codes For Cnc Programming
Section: Chapter Questions
Problem 27A: Write a CNC G-code program to machine the part in the following figure, so that the tip of the tool...
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In one of the videos from the discussion thread, it talked about doing a transformation T:R? → R² defined by T(x) = Ax for A = |ö5 05. 10. 1 -0.5 0.5 a. Demonstrate this transformation by applying it to a square. Draw a graph with the original square and the transformed square plotted. b. I want to know how this transformation affects the area of the shape. I want to answer this question in general, like "the transformation will multiply the area by 100." I can think of at least two ways to accomplish this: one having to do with elementary matrices, and one having to do with the eigenvalue/eigenvector problem. Answer the question for me and explain why your method works.
Transcribed Image Text:In one of the videos from the discussion thread, it talked about doing a transformation T:R? → R² defined by T(x) = Ax for A = |ö5 05. 10. 1 -0.5 0.5 a. Demonstrate this transformation by applying it to a square. Draw a graph with the original square and the transformed square plotted. b. I want to know how this transformation affects the area of the shape. I want to answer this question in general, like "the transformation will multiply the area by 100." I can think of at least two ways to accomplish this: one having to do with elementary matrices, and one having to do with the eigenvalue/eigenvector problem. Answer the question for me and explain why your method works.
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