A group in which the elements are square matrices, the group multiplication law is matrix multiplication, and the group inverse is simply the matrix inverse. Every matrix group is equivalent to a unitary matrix group (Lomont 1987, pp. 47-48).
Matrix Group
See also
Maschke's Theorem, General Linear Group, Linear Algebraic Group, 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 Web Resource. https://mathworld.wolfram.com/MatrixGroup.html