\left\{ \begin{array} { l } { a + 2 b + 3 c = 0 } \\ { 2 a + 5 b + 7 c = 0 } \\ { 3 a + 7 b + ( 10 + \varepsilon ) c = 0 } \end{array} \right.
Solve for a, b, c, ε (complex solution)
a=0\text{, }b=0\text{, }c=0\text{, }\epsilon \in \mathrm{C}
a=-c\text{, }b=-c\text{, }c\in \mathrm{C}\text{, }\epsilon =0
Solve for a, b, c, ε
a=0\text{, }b=0\text{, }c=0\text{, }\epsilon \in \mathrm{R}
a=-c\text{, }b=-c\text{, }c\in \mathrm{R}\text{, }\epsilon =0
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