Other Notions
General linear group, denoted by GL(n, F), is the group of -by- invertible matrices, where the elements of the matrices are taken from a field such as the real numbers or the complex numbers.
Group representation (not to be confused with the presentation of a group). A group representation is a homomorphism from a group to a general linear group. One basically tries to "represent" a given abstract group as a concrete group of invertible matrices which is much easier to study.
Read more about this topic: Glossary Of Group Theory
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