(Solved): Write the solution set of the given homogeneous system in parametric form. \( x_{1}-2 x_{2}-18 x_{ ...

Write the solution set of the given homogeneous system in parametric form. \( x_{1}-2 x_{2}-18 x_{3}=0 \) \( -3 x_{1}+7 x_{2}+60 x_{3}=0 \) \( -2 x_{2}-12 x_{3}=0 \) (Note: If \( x_{i} \) is not a free variable, enter "DNE" in the associated answer box.) To write a column vector, select Matrix from the Math Palette, click \( 2 \times 2 \) to initially create a \( 2 \times 2 \) matrix, then click \( -\mathrm{Col} \) to remove a column. From there, you can click \( + \) Row if you need to add a row. \[ \vec{x}=x_{1} \quad+x_{2} \quad+x_{3} \]