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  3. CET Karnataka Engineering

CET Karnataka Engineering CET - Karnataka Engineering Solved Paper-2001

  • question_answer
    If A and B are square matrices and \[{{A}^{-1}}\]and\[{{B}^{-1}}\]of the same order exist, then \[{{(AB)}^{-1}}=1\]

    A) \[A{{B}^{-1}}\]                 

    B) \[{{A}^{-1}}B\]

    C)  \[{{A}^{-1}}{{B}^{-1}}\]                

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

    Correct Answer: D

    Solution :

    Square matrices A and B of same order. We know that if A and B are non singular matrices of the same order then \[{{(AB)}^{-1}}={{B}^{-1}}{{A}^{-1}}\]


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