12th Class Mathematics Determinants

  • question_answer 1)
    Find the inverse of the matrix  

    Answer:

    Let              is non-singular matrix, so A?1 exists.          is non-singular, so A?1 exists.       A11 = (?1)1+1(?3 ? 0) = ?3;       A12 = (?1)1+2(?3 ? 0) = 3;       A13 = (?1)1+3(6 ? 15) = ?9;       A21 = (?1)2+1(0 ? 0) = 0;       A22 = (?1)2+2(?1 ? 0) = ?1;       A23 = (?1)2+3(2 ? 0) = ?2;       A31 = (?1)3+1(0 ? 0) = 0;       A32 = (?1)3+2(0 ? 0) = 0;       A33 = (?1)3+3(3 ? 0) = 3;                   Now                     


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