computation of the order of
Each element is given by a collection of -linearly independent vectors (http://planetmath.org/LinearIndependence). If one chooses the first column vector of from there are choices, but one can’t choose the zero vector since this would make the determinant of zero. So there are really only choices. To choose an -th vector from which is linearly independent from already chosen linearly independent vectors one must choose a vector not in the span of . There are vectors in this span, so the number of choices is . Thus the number of linearly independent collections of vectors in is .
|Title||computation of the order of|
|Date of creation||2013-03-22 13:06:50|
|Last modified on||2013-03-22 13:06:50|
|Last modified by||yark (2760)|