The following system of equations x₁ + x₂ + 2x₃ = 1 x₁ + 2x₂ + 3x₃ = 2 x₁ +…

GATE · 2008 · CSModified — slightly modified from the official paper; see the solution

The following system of equations

x₁ + x₂ + 2x₃ = 1
x₁ + 2x₂ + 3x₃ = 2
x₁ + 4x₂ + αx₃ = 4

has a unique solution. The only possible value(s) for α is/are

  1. A.

    either 0 or 1

  2. B.

    any real number 

  3. C.

    0

  4. D.

    any real number other than 5

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