Glænø

Glænø is a small Danish island off the west coast of Zealand between Basnæs Nor and Karrebæksminde Bugt. With an area of 5.6 km², as of 1 January 2010 it has a population of 57. Now part of Slagelse Municipality, it is connected to Stubberup, Zealand, by road over a dam some 100 meters long. Agriculture is the island's main source of income and there are several farms at the centre of the island. Glænø has a sandy beach, a bird sanctuary and offers opportunities for walking and angling.

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Coordinates: 55°11′45″N 11°26′0″E / 55.19583°N 11.43333°E / 55.19583; 11.43333

General linear group

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. For example, the general linear group over R (the set of real numbers) is the group of n×n invertible matrices of real numbers, and is denoted by GL_n(R) or GL(n, R).

More generally, the general linear group of degree n over any field F (such as the complex numbers), or a ring R (such as the ring of integers), is the set of n×n invertible matrices with entries from F (or R), again with matrix multiplication as the group operation. Typical notation is GL_n(F) or GL(n, F), or simply GL(n) if the field is understood.