Chapter A.2, Problem 13P

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.

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