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Let _ R2 be a line through the origin. a. Give a geometric argument that reflection

Linear Algebra: A Geometric Approach | 2nd Edition | ISBN: 9781429215213 | Authors: Ted Shifrin, Malcolm Adams ISBN: 9781429215213 438

Solution for problem 15 Chapter 2.2

Linear Algebra: A Geometric Approach | 2nd Edition

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Linear Algebra: A Geometric Approach | 2nd Edition | ISBN: 9781429215213 | Authors: Ted Shifrin, Malcolm Adams

Linear Algebra: A Geometric Approach | 2nd Edition

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Problem 15

Let _ R2 be a line through the origin. a. Give a geometric argument that reflection across _, the function R_ : R2 R2, is a linear transformation. (Hint: Consider the right triangles formed by x and x_, y and y_, and x + y and x_ + y_.) b. Give a geometric argument that projection onto _, the function P_ : R2 R2, is a linear transformation.

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Chapter 2.2, Problem 15 is Solved
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Textbook: Linear Algebra: A Geometric Approach
Edition: 2
Author: Ted Shifrin, Malcolm Adams
ISBN: 9781429215213

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Let _ R2 be a line through the origin. a. Give a geometric argument that reflection

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