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Manipal MET2021MathematicsDeterminants

The system of linear equations x+y+z=0 , 2 x+y-z=0,3 x+2 y=0 has

Options

  1. Ano solution
  2. Ba unique solution
  3. Cinfinitely many solutions
  4. DNone of these

Correct answer

C. infinitely many solutions

Step-by-step solution

Given system of equations are x+y+z=0,2 x+y-z=0,3 x+2 y=0 Let = | array rrr 1 & 1 & 1 2 & 1 & -1 3 & 2 & 0 array |=1(0+2)-1(0+3)+1(4-3)=+2-3+1=0 Hence, it has infinitely many solutions.

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