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

If a determinant of order 3xx3 is formed by using the numbers 1 or -1 then minimum value of determinant is :

Consider the set A of all determinants of order 3 with entries 0 or 1 only. Let B be the subset of A consisting of all determinants with value 1. Let C be the subset of the set of all determinants with value -1 . Then

Find the number of nonzero determinant of order 2 with elements 0 or 1 only.

Principal quantum number determines

Determine the number of light years in one metre.

Find the value of determinate : |{:(5,7),(2,4):}|

Find the number of non-negative integral solutions of x+y+z+wlt=20.

A matrix is chosen at random from a set of all matrices of order 2 , with elements 0 or 1 only. The probability that the determinant of the matrix chosen is non-zero will be :

If each element of a second order determinant is either zero or one, what is the probability that the value of the determinant is positive? (Assume that the individual entries of the determinant are chosen independently, each value being assumed with probability (1)/(2) )