What are the connected components of $GL(n,\mathbb{R})$? I think there are two, corresponding to those of positive and negative determinant. But I don’t know how to prove that each one of them is connected.
Could you help? Thanks!
What are the connected components of $GL(n,\mathbb{R})$? I think there are two, corresponding to those of positive and negative determinant. But I don’t know how to prove that each one of them is connected.
Could you help? Thanks!