$O(n)$ is the manifold of the orthogonal $n \times n$ matrices.
How do I prove that its dimension is $\displaystyle \frac{n(n-1)}{2}$?
Edit: Thanks to all your answers. I appreciate your help.
$O(n)$ is the manifold of the orthogonal $n \times n$ matrices.
How do I prove that its dimension is $\displaystyle \frac{n(n-1)}{2}$?
Edit: Thanks to all your answers. I appreciate your help.