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3 Answers

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rank of matrix is less than n(3<2).....take any variable as orbitory value....(infinite no of solution)

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Coefficents matrix
A= | 1   0   -2   |
      |  1  -1    0  |
      |  2   -2   0  |
 Homogenous equation has 0 as trivial solution .hence option 1 is wrong

Now the rank of A < 3 as 2nd and 3rd row is proportional .
Hence the equations have infinite no of solution
 Answer is option 2

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