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AP EAMCET201822 Apr 2018Evening ShiftMathematicsDeterminantsActual

The system of equations x-2 y+3 z=5 , 2 x-2 y+z=0,-x+2 y-3 z=6 has

Options

  1. Ainfinitely many solutions
  2. Bexactly two solutions
  3. Cunique solution
  4. Dno solution

Correct answer

D. no solution

Step-by-step solution

Given system of equations, aligned & = | array ccc 1 & -2 & 3 2 & -2 & 1 -1 & 2 & -3 array |=1(6-2)+2(-6+1)+3(4-2) & =4-10+6=0 ₁ & = | array ccc 5 & -2 & 3 0 & -2 & 1 6 & 2 & -3 array |=5(6-2)+2(0-6)+3(0+12) & =20-12+36 0 aligned So, no solution.

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