Going through a mathematical physics book in the section about vector spaces, in the section showing how to prove vectors are linearly dependent their example is:(adsbygoogle = window.adsbygoogle || []).push({});

Two vectors in 3-d space:

A=i+ 2j-1.5k

B=i+j- 2k

C=i-j- 3k

are linearly dependent as we can write down

2A- 3B+C=0

I understand the concept of linear dependence, and why the answer makes sense (non-zero constants exist) but my question is how they determined the constants needed to show the vectors are dependent. My first thought was Gaussian elimination but I don't think that's correct.

Any help would be appreciated.

**Physics Forums - The Fusion of Science and Community**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Linear Dependent Question

Loading...

Similar Threads for Linear Dependent Question | Date |
---|---|

I Can a shear operation introduce a new linear dependency? | Oct 11, 2017 |

I Regarding the linear dependence of eigenvectors | Mar 1, 2017 |

I Linear (in)dependency | Oct 20, 2016 |

I Same vector space for arbitrary independent vectors? | May 28, 2016 |

I Linear dependency of Vectors above R and C and the det | May 21, 2016 |

**Physics Forums - The Fusion of Science and Community**