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 R? by the map S(2),...


Example 2.8.3 Let G =<br>are orthogonal, that is, they satisfy the relation AA' = I, and which have<br>determinant 1. The set G is in one-to-one correspondence with the unit circle<br>in R? by the map<br>S(2), the group of all 2 x 2 real matrices which<br>x2<br>(#1, #2) → (.<br>-x2<br>

Extracted 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 R? by the map S(2), the group of all 2 x 2 real matrices which x2 (#1, #2) → (. -x2

Jun 04, 2022
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