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

  • question_answer
    \[\left[ \begin{align}   & \,\,\,1 \\  & -1 \\  & \,\,\,2 \\ \end{align} \right]\,\,[2\text{   }1\text{   }-1]\]  = [MP PET 2000]

    A) [-1]

    B) \[\left[ \begin{align}   & \,\,\,2 \\  & -1 \\  & -2 \\ \end{align} \right]\]

    C) \[\left[ \begin{matrix}    \,\,2 & \,\,1 & -1  \\    -2 & -1 & \,\,1  \\    \,\,4 & \,\,2 & -2  \\ \end{matrix} \right]\]

    D) Not defined

    Correct Answer: C

    Solution :

    \[\left[ \begin{matrix}    \,\,1  \\    -1\,  \\    \,\,2  \\ \end{matrix} \right]\,\,[\begin{matrix}    2 & 1 & -1  \\ \end{matrix}]=\left[ \begin{matrix}    2 & 1 & -1  \\    -2\,\,\, & -1\,\,\, & \,\,1  \\    4 & 2 & -2  \\ \end{matrix} \right]\].


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