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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 \[A,B,C\]are three \[n\times n\]matrices, then \[(ABC{)}'=\] [MP PET 1988]

    A) \[{A}'\,{B}'\,{C}'\]

    B) \[{C}'\,{B}'\,{A}'\]

    C) \[{B}'\,{C}'\,{A}'\]

    D) \[{B}'\,{A}'\,{C}'\]

    Correct Answer: B

    Solution :

    It is obvious that \[(ABC{)}'={C}'{B}'{A}'.\]


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