A `2xx2 ` determinant is formed with entries ` 1,-1.` The no. of determinants whose value is` 0` is

Entries of a 2xx2 determinant are chosen from the set {-1,1} .The probability that determinant has zero value is

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

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.

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.

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

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