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RAJASTHAN ­ PET Rajasthan PET Solved Paper-2004

  • question_answer
    If\[{{A}^{T}}\]and\[{{B}^{T}}\]are transpose matrices of two square matrices A and B of order\[2\times 2,\]then\[{{(AB)}^{T}}\]will be equal to

    A)  \[{{A}^{T}}{{B}^{T}}\]           

    B)  \[{{B}^{T}}{{A}^{T}}\]

    C)  \[A{{B}^{T}}\] 

    D)  \[{{A}^{T}}B\]

    Correct Answer: B

    Solution :

     If\[{{A}^{T}}\]and\[{{B}^{T}}\]are transpose matrices of A and B, then\[{{(AB)}^{T}}={{B}^{T}}.{{A}^{T}}\]


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