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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 \[A=\left[ \begin{matrix}    \cos \theta  & -\sin \theta   \\    \sin \theta  & \cos \theta   \\ \end{matrix} \right]\], then which of the following statements is not correct [DCE 2001]

    A) A is orthogonal matrix

    B) \[{A}'\]is orthogonal matrix

    C) Determinant A = 1

    D) A is not invertible

    Correct Answer: D

    Solution :

    \[|A|\,\,=1\ne 0,\] therefore A is invertible. Thus (d) is not correct.


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