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KVPY Sample Paper KVPY Stream-SX Model Paper-23

  • question_answer
    The number of \[3\times 3\] matrices A whose entries are either 0 or 1 and for which the system  \[A\,\left[ \begin{matrix}    x  \\    y  \\    z  \\ \end{matrix} \right]=\left[ \begin{matrix}    1  \\    0  \\    0  \\ \end{matrix} \right]\] has exactly two distinct solutions, is

    A) 0

    B) \[{{2}^{9}}-1\]

    C) \[168\]  

    D) \[2\]

    Correct Answer: A

    Solution :

    System of equation represent the equation of three planes. But three plane cannot intersect at exactly two points. No solution exists.


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