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Abelian proof

Need to figure out how to do this type of problem.

Using A =[ Cos alpha - Sin alpha ]
Sin alpha Cos alpha

(1) Find A^-1 =[ ] E SO sub 2 (1R)

(2) Check A inverse is in SO sub2 (R)
Check A inverse * A = Identity and A * A inverse = Identity

Show that SO sub 2 ( R) is abelian .

Solution Summary

This shows how to prove that something is abelian.