# Vectors : Linear Independence

Let A = [ -5, 6, -19] B= [-1, 2, -3] and C= [-2, 2, -8]

**they are linearly independent***

The problem is the same as if the vectors were written vertically.

If they are linearly dependent, determine a non-trivial linear relation - (a non-trivial relation is three numbers which are not all three zero.) otherwise, if the vectors are linearly independent, enter 0's for the coefficients, since that relationship always holds.

Determine non-trivial linear relation:

___ A + ___ B + ___C = 0

https://brainmass.com/math/linear-algebra/29950

#### Solution Summary

Linear Independence is investigated.

$2.19