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

  • question_answer
    If A  and B  are non-singular matrices, then  [MP PET 1991; Kurukshetra CEE 1998]

    A) \[{{(AB)}^{-1}}={{A}^{-1}}{{B}^{-1}}\]

    B) \[AB=BA\]

    C) \[(AB{)}'={A}'{B}'\]

    D) \[{{(AB)}^{-1}}={{B}^{-1}}{{A}^{-1}}\]

    Correct Answer: D

    Solution :

    \[{{(AB)}^{-1}}={{B}^{-1}}{{A}^{-1}}\].


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