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JEE Main & Advanced Mathematics Determinants & Matrices Question Bank Self Evaluation Test - Determinats

  • question_answer
    If A is a square matrix such that \[{{A}^{2}}=I\] where I is the identity matrix, then what is \[{{A}^{-1}}\] equal to?

    A) \[A+1\]

    B) Null matrix

    C) A

    D) Transpose of A

    Correct Answer: C

    Solution :

    [c] Let \[{{A}^{2}}=I\] \[\Rightarrow {{A}^{2}}{{A}^{-1}}=I{{A}^{-1}}\] \[\Rightarrow A={{A}^{-1}}\]


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