JEE Main & Advanced Mathematics Determinants & Matrices Question Bank Types of matrices, Algebra of matrices

  • question_answer
    What must be the matrix X if \[2X+\left[ \begin{matrix}    1 & 2  \\    3 & 4  \\ \end{matrix} \right]=\left[ \begin{matrix}    3 & 8  \\    7 & 2  \\ \end{matrix} \right]\] [Karnataka CET 2004]

    A) \[\left[ \begin{matrix}    1 & 3  \\    2 & -1  \\ \end{matrix} \right]\]

    B) \[\left[ \begin{matrix}    1 & -3  \\    2 & -1  \\ \end{matrix} \right]\]

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

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

    Correct Answer: A

    Solution :

    \[2X\,=\left[ \begin{matrix}    3 & 8  \\    7 & 2  \\ \end{matrix} \right]-\left[ \begin{matrix}    1 & 2  \\    3 & 4  \\ \end{matrix} \right]\] \[2X=\left[ \begin{matrix}    2 & 6  \\    4 & -2  \\ \end{matrix} \right]\Rightarrow X=\left[ \begin{matrix}    1 & 3  \\    2 & -1  \\ \end{matrix} \right]\].


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