12th Class Mathematics Determinants

  • question_answer 59)
    Examine the consistency of the system of equations x + y + z = 1; 2x + 3y + 2z = 2; ax + ay + 2az = 4  

    Answer:

    The given system of equations can be expressed as       AX = B, where                           and       |A| = 1 (6a ? 2a) ? 1 (4a ? 2a) + 1 (2a ? 3a)       = 4a ? 2a ? a = a  0       Hence A is non-singular matrix so given system is consistent.  


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