A determinant of second order is made with the elements 0 and 1. The number of determinants with non-negative values is

A determinant of second order is made with the elements 0 and 1. The number of determinants with non-negative values is

  1. A

    3

  2. B

    10

  3. C

    11

  4. D

    13

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    Solution:

    There are only three determinants of second order with negative value.

    0   11    0,0   11    1,1   11    0  Number of possible determinants with elements 0 and 1 are 24=16.  Therefore number of determinants with non-negative values is 13.

     

     

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