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JEE Main & Advanced Mathematics Determinants & Matrices Question Bank Self Evaluation Test - Matrices

  • question_answer
    Number of square sub-matrices of order 2 (sub-matrix is obtained by deleting appropriate number of rows and columns in a given matrix) that can be formed from the matrix \[\left[ \begin{matrix}    1 & 2 & -1 & 4  \\    2 & 4 & 3 & 5  \\    -1 & -2 & 6 & -7  \\ \end{matrix} \right]\] is

    A) 12

    B) 15   

    C) 18

    D) \[{{2}^{12}}\]

    Correct Answer: C

    Solution :

    [c] The desired number of sub-matrices \[={{\,}^{4}}{{C}_{2}}\times {{\,}^{3}}{{C}_{2}}=18\]


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