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

  • question_answer
    If \[A=\left[ \begin{matrix}    1 & -2  \\    5 & 3  \\ \end{matrix} \right]\], then \[A+{{A}^{T}}\]equals [RPET 1994]

    A) \[\left[ \begin{matrix}    2 & 3  \\    3 & 6  \\ \end{matrix} \right]\]

    B) \[\left[ \begin{matrix}    2 & -4  \\    10 & 6  \\ \end{matrix} \right]\]

    C) \[\left[ \begin{matrix}    2 & 4  \\    -10 & 6  \\ \end{matrix} \right]\]

    D) None of these

    Correct Answer: A

    Solution :

    \[A=\left[ \begin{matrix}    1 & -2  \\    5 & 3  \\ \end{matrix} \right],\,\]\[{{A}^{T}}=\left[ \begin{matrix}    1 & 5  \\    -2 & 3  \\ \end{matrix} \right],\,A+{{A}^{T}}=\left[ \begin{matrix}    2 & 3  \\    3 & 6  \\ \end{matrix} \right]\].


You need to login to perform this action.
You will be redirected in 3 sec spinner