(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Show that the real linear transformations of Rn preserving a real symmetric metric form

a matrix Lie group, and that the group is determined up to isomorphism by the number

p of positive eigenvalues of , the number q of negative eigenvalues of , and the number

r of zero eigenvalues of , with p + q + r = n.

Does anybody know how to do this? Thanks

2. Relevant equations

3. The attempt at a solution

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Metric preserving group

Can you offer guidance or do you also need help?

Draft saved
Draft deleted

**Physics Forums | Science Articles, Homework Help, Discussion**