Consider the following system of equations in three real variables x₁, x₂ and…

GATE · 2005 · CS

Consider the following system of equations in three real variables x₁, x₂ and x₃:

2x₁ - x₂ + 3x₃ = 1
3x₁ - 2x₂ + 5x₃ = 2
-x₁ + 4x₂ + x₃ = 3

This system of equations has

  1. A.

    no solution

  2. B.

    a unique solution

  3. C.

    more than one but a finite number of solutions

  4. D.

    an infinite number of solutions

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