JEE Main & Advanced Mathematics Determinants & Matrices Question Bank Special types of matrices, Transpose, Adjoint and Inverse of matrices

  • question_answer
    If  d is the determinant of a square matrix A of order n, then the determinant of its adjoint is  [EAMCET 2000]

    A) \[{{d}^{n}}\]

    B) \[{{d}^{n-1}}\]

    C) \[{{d}^{n+1}}\]

    D) \[d\]

    Correct Answer: B

    Solution :

    \[|Adj\,\,A|\,=|A{{|}^{n-1}}={{d}^{n-1}}\].


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