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If a determinant of order 3xx3 is formed...

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

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

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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

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.