12th Class Mathematics Determinants

  • question_answer 65)
    Solve the system of equations using matrix method 5x + 2y = 3’; 3x + 2y = 5  

    Answer:

    The given system of equations can be expressed as       AX = B, where                   and             Therefore A is non-singular matrix so A?1 exists and given system has a unique solution.       A11 = (?1)1+1.2 = 2;       A12 = (?1)1+2.3 = ?3;       A21 = (?1)2+1? 2 = ?2;       A22 = (?1)2+2 .5 = 5;                   Now                         On equating, we get x = ?1, y = 4  


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