12th Class Mathematics Determinants

  • question_answer 33)
    Write minors and cofactors of the elements of following determinants :       (i)               (ii)  

    Answer:

    (i)       Minor of element 2 = M11 = 3       Minor of element ?4 = M12 = 0       Minor of element 0 = M21 = ?4       Minor of element 3 = M22 = 2       Cofactor of element 2 = A11 = (?1)1+1                         M11 = (?1)2 . 3 = 3       Cofactor of element ? 4 = A12 = (?1)1+2             M12 = (?1)3.0 = 0       Cofactor of element 0 = A21 = (?1)2 +1             M21 = (?1)3 (?4) = 0       Cofactor of elements 3 = A22 = (?1)2+2                         M22 = (?1)4 . 2  = 0       (ii)               Minor of element a = M11 = d             Minor of element c = M12 = b             Minor of element b = M21 = c                  Minor of element d = M22 = d             Cofactor of element                         Cofactor of element c = A12 = (?1)1+2                         Cofactor of element b = A21 = (?1)2+1                         Cofactor of element d = A22 = (?1)2 + 2             M22 = (?1)4 . a = a.  


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