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Manipal MET2017MathematicsMatrices

If [ array crr 2+x & 3 & 4 1 & -1 & 2 x & 1 & -5 array ] is a singular matrix, then x is

Options

  1. A13 25
  2. B- 25 13
  3. C5 13
  4. D25 13

Correct answer

B. - 25 13

Step-by-step solution

[ array crr 2+x & 3 & 4 1 & -1 & 2 x & 1 & -5 array ] is a singular matrix. | array crr 2+x & 3 & 4 1 & -1 & 2 x & 1 & -5 array |=0 (2+x)(5-2)-3(-5-2 x)+4(1+x)=0 6+3 x+15+6 x+4+4 x=0 13 x+25=0 x=- 25 13

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