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KCET2007MathematicsMatrices

If A= [ array ccc 0 & x & 16 x & 5 & 7 0 & 9 & x array ] is singular, then the possible values of x are

Options

  1. A0,12,-12
  2. B0,1,-1
  3. C0,4,-4
  4. D0,5,-5

Correct answer

A. 0,12,-12

Step-by-step solution

We have, A= [ array ccc 0 & x & 16 x & 5 & 7 0 & 9 & x array ] Since, A is singular. aligned & &|A| &=0 & & & & x [x²-0 ]+16[9 x-0] &=0 &-x³+144 x &=0 & x (x²-144 ) &=0 & x &=0 & & x &= 12 aligned

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