Keyword | CPC | PCC | Volume | Score | Length of keyword |
---|---|---|---|---|---|

linearly independent vectors definition | 0.87 | 1 | 1027 | 51 | 39 |

linearly | 1.87 | 0.4 | 2524 | 67 | 8 |

independent | 1.76 | 0.2 | 3162 | 26 | 11 |

vectors | 1.59 | 0.2 | 8966 | 59 | 7 |

definition | 1.8 | 0.3 | 8566 | 98 | 10 |

Keyword | CPC | PCC | Volume | Score |
---|---|---|---|---|

linearly independent vectors definition | 1.9 | 0.6 | 4779 | 17 |

when are vectors linearly independent | 1.57 | 0.2 | 3061 | 95 |

show that vectors are linearly independent | 1.05 | 0.3 | 5448 | 94 |

two linearly independent vectors | 1.14 | 0.4 | 3273 | 12 |

linearly dependent and independent vectors | 1.44 | 0.7 | 2117 | 48 |

linearly independent vectors examples | 1.23 | 0.6 | 8382 | 87 |

what makes vectors linearly independent | 0.86 | 0.9 | 6188 | 78 |

linearly independent vector example | 1.25 | 0.9 | 1018 | 82 |

is a single vector linearly independent | 1.56 | 0.5 | 4406 | 54 |

is one vector linearly independent | 1.27 | 0.1 | 102 | 11 |

Two vectors are linearly dependent if and only if they are collinear, i.e., one is a scalar multiple of the other. Any set containing the zero vector is linearly dependent. If a subset of { v 1 , v 2 ,..., v k } is linearly dependent, then { v 1 , v 2 ,..., v k } is linearly dependent as well.

set of vectors is linearly independent: A set of n vectors of length n is linearly independent if the matrix with these vectors as columns has a non-zero The set is of course dependent if the determinant is zero. Example The vectors <1,2> and <-5,3> are linearly independent since the matrix has a non-zero determinant. Example