JEE Main & Advanced Mathematics Determinants & Matrices Question Bank Special types of matrices, Transpose, Adjoint and Inverse of matrices

  • question_answer
    If \[A=\left[ \begin{matrix}    4 & x+2  \\    2x-3 & x+1  \\ \end{matrix} \right]\]is symmetric, then x = [Karnataka CET 1994]

    A) 3

    B) 5

    C) 2

    D) 4

    Correct Answer: B

    Solution :

    Since the given matrix is symmetric, therefore \[{{a}_{12}}={{a}_{21}}\Rightarrow x+2=2x-3\Rightarrow x=5\].


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