This preview shows page 1. Sign up to view the full content.
Unformatted text preview: a,b,c,d Z and adbc 6 = 0 . Prove or disprove: G is a group under matrix multiplication. Exercise 8. Prove that O 2 ( R ) = { A M 2 ( R )  AA T = I } is a subgroup of GL 2 ( R ). O 2 ( R ) is called the orthogonal group and its elements are the orthogonal matrices . Exercise 9. Let G be a group, H G and x G . Prove that xHx1 = { xyx1  y H } is a subgroup of G ....
View
Full
Document
 Spring '10
 RyanDaileda
 Determinant, Matrices

Click to edit the document details