12th Class Mathematics Determinants

  • question_answer 63)
    Solve system of linear equations by matrix method 2x – y = –2; 3x + 4y = 3  

    Answer:

    The given system of equations can be expressed as       AX = B, where                                       and               = 11       Therefore A is non-singular matrix so A?1 exists and given system has a unique solution.       A11 = (?1)1+1.4 = 4;       A12 = (?1)1+2.3 = ?3;       A21 = (?1)2+1(? 1) = 1;       A22 = (?1)2+2 .2 = 2;       Adj                   Now AX = B                         On equating, we get  


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