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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 is involutory matrix and I  is unit matrix of same order, then \[(I-A)(I+A)\] is

    A) Zero matrix

    B) A

    C) I

    D) 2A

    Correct Answer: A

    Solution :

    \[(I-A)\,(I+A)=I-{{A}^{2}}=O\], {Since A is involuntory, therefore \[{{A}^{2}}=I\}\].


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