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· u(n) and so(n) are quite important groups in physics. I have been wanting to learn about linear algebra (specifically about vector spaces) for a long time, but i am not sure what … I thought i would find this with an easy google … The only way to get the 13/27 answer is to make the unjustified unreasonable assumption that dave is boy-centric & … Ive found lots of different proofs that so(n) is path connected, but im trying to understand one i found on stillwells … What is the fundamental group of the special orthogonal group $so (n)$, $n>2$? The answer usually …