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Manipal MET2017MathematicsDeterminants

The system x+4 y-2 z=3,3 x+y+5 z=7 , 2 x+3 y+z=5 has

Options

  1. Ainfinite number of solutions
  2. Bunique solution
  3. Ctrivial solution
  4. Dno solution

Correct answer

D. no solution

Step-by-step solution

Given system of equations are and aligned & x+4 y-2 z=3 & 3 x+y+5 z=7 & 2 x+3 y+z=5 aligned aligned & = | array ccc 1 & 4 & -2 3 & 1 & 5 2 & 3 & 1 array | & =1(1-15)-4(3-10)-2(9-2) & =-14+28-14=0 and ₂ & = | array lll 1 & 3 & -2 3 & 7 & 5 2 & 5 & 1 array | & =1 0 aligned No solution will exist.

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