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Matrix Group


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).


See also

Maschke's Theorem, General Linear Group, Linear Algebraic Group, Orthogonal Group, Special Linear Group, Special Orthogonal Group, Special Unitary Group, Unitary Group

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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 Group

Cite this as:

Weisstein, Eric W. "Matrix Group." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/MatrixGroup.html

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