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

  • question_answer
     If A is a singular matrix, then adj A is  [Karnataka CET 1993]

    A) Singular

    B) Non-singular

    C) Symmetric

    D) Not defined

    Correct Answer: A

    Solution :

    Since \[|adj\,A|\,\,=\,\,|A{{|}^{n-2}}\], therefore \[|A|\,\,=0\] Þ \[|adj\,A|=0\,\Rightarrow adj\,A\] is also singular.


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