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

  • question_answer
    If \[A=[1\,\,2\,\text{ }3]\]and \[B=\left[ \begin{matrix}    -5 & 4 & 0  \\    0 & 2 & -1  \\    1 & -3 & 2  \\ \end{matrix} \right]\], then \[AB=\] [MP PET 1988]

    A) \[\left[ \begin{matrix}    -5 & 4 & 0  \\    0 & 4 & -2  \\    3 & -9 & 6  \\ \end{matrix} \right]\]

    B) \[\left[ \begin{align}   & 3 \\  & 1 \\  & 1 \\ \end{align} \right]\]

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

    D) \[\left[ \begin{matrix}    -5 & 8 & 0  \\    0 & 4 & -3  \\    1 & -6 & 6  \\ \end{matrix} \right]\]

    Correct Answer: C

    Solution :

    \[AB=[1\,\,2\,\,3]\,\left[ \begin{matrix}    -5 & 4 & 0  \\    0 & 2 & -1  \\    1 & -3 & 2  \\ \end{matrix} \right]=[-2\,\,-1\,\,\,4]\].


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