A matrix group is a group of invertible matrices of a fixed size over a field, with matrix multiplication as the group operation and matrix inverse as the inverse operation. Its elements are square matrices. Every finite group of complex matrices can be transformed into a group of unitary matrices by a single change of basis (Lomont 1987, pp. 47-48).
Matrix Group
See also
General Linear Group, Linear Algebraic Group, Maschke's Theorem, Orthogonal Group, Special Linear Group, Special Orthogonal Group, Special Unitary Group, Unitary GroupExplore with Wolfram|Alpha
References
Lomont, J. S. "Matrix Groups." §3.1 in Applications of Finite Groups. New York: Dover, pp. 46-52, 1987.Referenced on Wolfram|Alpha
Matrix GroupCite this as:
Weisstein, Eric W. "Matrix Group." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/MatrixGroup.html