Question

Determinant of second order is made with element 0 or 1 the number of determinants with non negative value is​

Answer 1

Given: Determinant of second order is made with element 0 or 1

To find: The number of determinants with non negative value.

Solution:

• As we have given that the order of the determinant is second, so order is of 2x2.

• Also we have given that determinant is made up of 0 and 1.

• So det will be:

       either  0  1      0  1      1   1

                   1  0      1  0      1   0

• So number of possible  determinants with elements 0 and 1 are 2^4 =16

• Therefore, number of determinants with non-negative values is 16-3 = 13.

Answer:

      So the number of determinants with non negative value is 13.