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Consider the following set of linear algebraic equations 

                                                 $x{_1} + 2x{_2} + 3x{_3} = 2$

                                                 $x{_2} + x{_3} = -1$

                                                 $2x{_2} + 2x{_3} = 0$

The system has

  1. a unique solution
  2. no solution
  3. an infinite number of solutions
  4. only the trivial solution

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