Answer
$x_{1}=0$
$x_{2}=-t$
$x_{3}=t$
Work Step by Step
The system of equations corresponding to this matrix is
$x_{1}=0$_______________Equation 1
$x_{2}+x_{3}=0$ __________Equation 2
$0=0$________________Equation 3
From equatio 2: $x_{2}=-x_{3}$
Using the parameter $t=x_{3}$ the solution is:
$x_{1}=0$
$x_{2}=-t$
$x_{3}=t$