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##GL(n,\mathbb{R})## is set of invertible matrices with real entries. We know that

[tex]SO(n,\mathbb{R}) \subset O(n,\mathbb{R}) \subset GL(n,\mathbb{R})[/tex]

is there any specific subgroups of ##GL(n,\mathbb{R})## that is highly important.

[tex]SO(n,\mathbb{R}) \subset O(n,\mathbb{R}) \subset GL(n,\mathbb{R})[/tex]

is there any specific subgroups of ##GL(n,\mathbb{R})## that is highly important.

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