# determinant condition for a sequence of vectors

Let ${x}_{1},{x}_{2},\mathrm{\dots}$ be a sequence of $d$ dimensional vectors. Assume that there is a function^{} $C:{\mathbb{N}}^{d}\to \mathbb{R}\setminus \{0\}$
such that

$$ |

for every $n\in \mathbb{N}$. Then the sequence is contained within a proper linear subspace.

Title | determinant^{} 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 |