How many path-connected components does $O_{2}(\mathbb{R})$ have?
My Attempt: I believe that the answer is 2, but I'm not sure how to work with the definition and describing the path-connected components.
How many path-connected components does $O_{2}(\mathbb{R})$ have?
My Attempt: I believe that the answer is 2, but I'm not sure how to work with the definition and describing the path-connected components.
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