EMLA Q.38

0. The system of simultaneous equations
x + 2y + z = 6
2x + y + 2z = 6
x + y + z = 5
has

  • Option : C
  • Explanation : Given equations are;

    x + 2y + z = 6;

    2x + y + 2z = 6;

    x + y + z = 5

    Given system can be written as

    Linear Algebra

    Applying row operation  

    Linear Algebra

    we get,

    Linear Algebra

    Linear Algebra

    we get,

    Linear Algebra

    Since rank of co-efficient matrix is 2 and rank of argument matrix is 3, which is not equal. Hence system has no solution.

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