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Example 2.8.3 Let G = SO(2), the group of all 2 x 2 real matrices which are orthogonal, that is, they satisfy the relation AA' = I, and which have determinant 1. The set G is in one-to-one correspondence with the unit circle in R2 by the map %3D :). X2 (x1, 22) – ( -x2

Example 2.8.3 Let G = SO(2), the group of all 2 x 2 real matrices which are orthogonal, that is, they satisfy the relation AA' = I, and which have determinant 1. The set G is in one-to-one correspondence with the unit circle in R2 by the map %3D :). X2 (x1, 22) – ( -x2

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.6: Introduction To Linear Transformations
Problem 54EQ
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Example 2.8.3 Let G = are orthogonal, that is, they satisfy the relation AA' = I, and which have determinant 1. The set G is in one-to-one correspondence with the unit circle in R2 by the map S(2), the group of all 2 x 2 real matrices which X2 (#1, 22) → (. -x2
Transcribed Image Text:Example 2.8.3 Let G = are orthogonal, that is, they satisfy the relation AA' = I, and which have determinant 1. The set G is in one-to-one correspondence with the unit circle in R2 by the map S(2), the group of all 2 x 2 real matrices which X2 (#1, 22) → (. -x2
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