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General linear group (, )

| nosplit | ↑ parent "Important Lie group" | words: 91 | descendant words: 170 | descendants: 1
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Invertible matrices. Or if you think a bit more generally, an invertible linear map.
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When the field is not given, it defaults to the real numbers.
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Non-invertible are excluded "because" otherwise it would not form a group (every element must have an inverse). This is therefore the largest possible group under matrix multiplication, other matrix multiplication groups being subgroups of it.
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Ancestors

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