Chapter A.2, Problem 14P

In each of Problems 10 through 14, determine whether the members of the given set of vectors are linearly independent. If they are linearly dependent, find a linear relation among them.

${\text{v}}_1={\left(1,2,-2\right)}^T$, ${\text{v}}_2={\left(3,1,0\right)}^T$, ${\text{v}}_3={\left(2,-1,1\right)}^T$, ${\text{v}}_4={\left(4,3,-2\right)}^T$