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 | Science Articles, Homework Help, Discussion**

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

**Physics Forums | Science Articles, Homework Help, Discussion**