| Keyword | CPC | PCC | Volume | Score | Length of keyword |
|---|---|---|---|---|---|
| meaning of linearly independent vectors | 0.93 | 0.7 | 9702 | 79 | 39 |
| meaning | 1.2 | 0.6 | 6005 | 20 | 7 |
| of | 0.51 | 0.7 | 6328 | 83 | 2 |
| linearly | 0.86 | 0.3 | 727 | 98 | 8 |
| independent | 1.51 | 0.1 | 1348 | 93 | 11 |
| vectors | 1.84 | 0.5 | 4731 | 47 | 7 |
| Keyword | CPC | PCC | Volume | Score |
|---|---|---|---|---|
| meaning of linearly independent vectors | 1.79 | 0.5 | 6623 | 38 |
| show that vectors are linearly independent | 0.93 | 0.2 | 710 | 85 |
| when are vectors linearly independent | 0.74 | 0.8 | 7713 | 91 |
| what makes vectors linearly independent | 1.9 | 0.4 | 2915 | 83 |
| two linearly independent vectors | 0.39 | 0.2 | 4807 | 92 |
| linearly dependent and independent vectors | 0.47 | 0.7 | 9524 | 36 |
| linearly independent vectors examples | 0.74 | 0.5 | 4264 | 67 |
| linearly independent vector example | 1.11 | 0.7 | 4035 | 73 |
| is one vector linearly independent | 1.95 | 0.8 | 9457 | 59 |
| is a single vector linearly independent | 1.11 | 0.1 | 9288 | 34 |
| how to show vectors are linearly independent | 1.47 | 0.1 | 6246 | 27 |
| show two vectors are linearly independent | 0.38 | 0.5 | 337 | 82 |
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.
How to determine if a vector set is linearly independent?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
