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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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