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

  • question_answer
    If A  is a non- singular matrix, then A(adj A) =

    A) A

    B) I

    C) |A|I

    D) \[|A{{|}^{2}}I\]

    Correct Answer: C

    Solution :

    \[A(adj\,A)=A.{{A}^{-1}}|A|=|A|\,I\].


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