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

  • question_answer
    If \[A=\left[ \begin{matrix}    0 & 2 & 0  \\    0 & 0 & 3  \\    -2 & 2 & 0  \\ \end{matrix} \right]\]and \[B=\left[ \begin{matrix}    1 & 2 & 3  \\    3 & 4 & 5  \\    5 & -4 & 0  \\ \end{matrix} \right]\], then the element of 3rd row and third column in AB will be

    A) - 18

    B)   4

    C)   - 12

    D) None of these

    Correct Answer: B

    Solution :

    In the product AB, the required element \[{{C}_{33}}=(-2)3+2.5+0.0=-6+10=4\].


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