Hello!

The problem is this,

Show that the set S is L.D. by example, find a nontrivial linear combonation of the vectors in S (whose sum is the zero vector)

$\displaystyle S= {(3,3,1,2),(3,1,4,1),(-3,7,-16,3)} $

This looks to me like a system of 4 equations in 3 unknowns, but can't see how to do it except for trial and error (trying different linear combonations...)

Any help greatly appriciated!

Thanks!