If the entries in a `3xx3` determinant are either 0 or 1, then the greatest value of their determinants is

The entries in a 3xx3 determinant are either 1 or -1, then much the following .

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

If each element of a second order determinant is either zero or one, what is the probability that the value the determinant is non-negative?

Find the value of the determinant . [[5,3],[7,9]]

Let P be a matrix of order 3xx3 such that all the entries in P are from the set {-1,\ 0,\ 1} . Then, the maximum possible value of the determinant of P is ______.

If the value of a third order determinant is 11 then the value of the square of the determinant formed by the cofactors will be

If I_3 denotes identity matrix of order 3xx3 , write the value of its determinant.

Consider the determinants Delta=|{:(2,-1,3),(1,1,1),(1,-1,1):}|,Delta'=|{:(2,0,-2),(-2,-1,1),(-4,1,3):}| STATEMENT-1 Delta'=Delta^2 . STATEMENT-2 : The determinant formed by the cofactors of the elements of a determinant of order 3 is equal in value to the square of the original determinant.

Entries of a 2 xx 2 determinant are chosen from the set {-1, 1} . The probability that determinant has zero value is

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