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Mathematics-Online lexicon:

Linear Group

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The invertible (or regular) matrices $ A\in K^{n\times n}$ form a group with respect to the matrix multiplication. This group is called general linear group and is denoted by $ \operatorname{GL}(n,K)$.

We have

$\displaystyle (AB)^{-1} = B^{-1} A^{-1}

for $ A,B\in \operatorname{GL}(n,K)$.



  automatically generated 11/ 3/2006