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How to show that the special linear group $SL(n,$R$)$ is a closed set of the general linear group $GL(n,$R$)$

I try to show its compliment is an open set by taking every elements in it has an open neighborhood.

However, I do not know how to define the open neighborhood in this case.

Hope someone can help me out.

Thanks.

Note: special linear group means all element has determinant 1

General linear group means the determinant not equal to $0$