General Linear Groups

In mathematics, the general linear group of degree n is the set of n×n invertible matrices, together with the operation of ordinary matrix multiplication. This forms a group, because the product of two invertible matrices is again invertible, and the inverse of an invertible matrix is invertible. The group is so named because the columns of an invertible matrix are linearly independent, hence the vectors/points they define are in general linear position, and matrices in the general linear group take points in general linear position to points in general linear position.To be more precise, it is necessary to specify what kind of objects may appear in the entries of the matrix.
Posts about General Linear Groups
  • 2015 Breakthrough Prizes Winners Announced

    … The winners of the 2015 Breakthrough Prizes in fundamental physics and life sciences, as well as mathematics, were presented with their awards at a gala earlier this week hosted by Seth MacFarlane, who was joined by Breakthrough Prize co-founders Sergey Brin (Google co-founder), Anne Wojcicki (Brin’s wife and founder of 23andMe), Jack Ma…

    David Cohen/ AllFacebookin Google- 11 readers -
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