determinant condition for a sequence of vectors

Let x1,x2, be a sequence of d dimensional vectors. Assume that there is a functionMathworldPlanetmath C:d{0} such that


for every n. Then the sequence is contained within a proper linear subspace.

Title determinantDlmfMathworldPlanetmath condition for a sequence of vectors
Canonical name DeterminantConditionForASequenceOfVectors
Date of creation 2013-03-22 14:33:44
Last modified on 2013-03-22 14:33:44
Owner GeraW (6138)
Last modified by GeraW (6138)
Numerical id 10
Author GeraW (6138)
Entry type Result
Classification msc 15A15