In 5558, without solving, determine whether the given homogeneous system of equations
Chapter 8, Problem 56(choose chapter or problem)
In Problems 55–58, without solving, determine whether the given homogeneous system of equations has only the trivial solution or a nontrivial solution.
\(\begin{aligned} x_{1}+x_{2}+x_{3} &=0 \\ x_{1}-2 x_{2}+x_{3} &=0 \\ -2 x_{1}+x_{2}-2 x_{3} &=0 \end{aligned}\)
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