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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 \[{{I}_{3}}\] is the identity matrix of order 3, then \[I_{3}^{-1}\]is [Pb. CET 2000]

    A) 0

    B) \[3{{I}_{3}}\]

    C) \[{{I}_{3}}\]

    D) Does not exist

    Correct Answer: C

    Solution :

    As \[{{I}_{3}}{{I}_{3}}={{I}_{3}}\], therefore \[I_{3}^{-1}={{I}_{3}}\].


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