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

  • question_answer
    If \[A=\left[ \begin{matrix}    1 & 3 & 0  \\    -1 & 2 & 1  \\    0 & 0 & 2  \\ \end{matrix} \right],B=\left[ \begin{matrix}    2 & 3 & 4  \\    1 & 2 & 3  \\    -1 & 1 & 2  \\ \end{matrix} \right]\], then AB = [EAMCET 1987]

    A) \[\left[ \begin{matrix}    5 & 9 & 13  \\    -1 & 2 & 4  \\    -1 & 2 & 4  \\ \end{matrix} \right]\]

    B) \[\left[ \begin{matrix}    5 & 9 & 13  \\    -1 & 2 & 4  \\    -2 & 2 & 4  \\ \end{matrix} \right]\]

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

    D) None of these

    Correct Answer: B

    Solution :

    \[AB=\left[ \begin{matrix}    \,\,5 & 9 & 13  \\    -1 & 2 & 4  \\    \,\,-2 & 2 & 4  \\ \end{matrix} \right]\].


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