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Math / Linear Algebra: A Geometric Approach 2 / Chapter 2.2 / Problem 14

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

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Let _1 be the line through the origin in R2 making angle with the x1-axis, and let _2 be

Chapter 2, Problem 14

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QUESTION:

Let _1 be the line through the origin in R2 making angle with the x1-axis, and let _2 be the line through the origin in R2 making angle with the x1-axis. Find R_2 R_1 . (Hint: One approach is to use the matrix for reflection found in Exercise 12.)

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QUESTION:

Let _1 be the line through the origin in R2 making angle with the x1-axis, and let _2 be the line through the origin in R2 making angle with the x1-axis. Find R_2 R_1 . (Hint: One approach is to use the matrix for reflection found in Exercise 12.)

ANSWER:

Problem 14

Let be the line through the origin in making angle with the , and let be the line through the origin in making angle with the . Find . (Hint: One approach is to use the matrix for reflection found in Exercise 12.)

Step-by-step solution

Step 1 of 2

Given and be line through origin in making with x-axis and with -axis respectively then for example 12 the standard vector for and .

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