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Consider the system of equations α x + y + z = p ,   x + α y + z = q and x + y + α z = r , then the sum of all possible distinct value(s) of α for which system does not possess a unique solution is

Options

  1. A- 2
  2. B1
  3. C- 1
  4. D0

Correct answer

C. - 1

Step-by-step solution

Here D = α 1 1 1 α 1 1 1 α = α + 2 α - 1 2 Hence, for α = - 2 , 1 the system will not have a unique solution. The sum of values of α = - 2 + 1 = - 1

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