已知向量组(alpha_{1},alpha_{2},alpha_{3},分别可由向量组beta_{1},beta_{2},beta_{3},线性表示,即begin{equation}left{begin{aligned}alpha_{1}&=beta_{1}-beta_{2}+beta_{3}alpha_{2}&=beta_{1}+beta_{2}-beta_{3}alpha_{3}&=-beta_{1}+beta_{2}+beta_{3}end{aligned}right.end{equation},)判别这两个向量组不等价是否正确。