Show that the value of a third order determinant whose all elements are 1 or -1 is an even number.

Find the largest value of a third order determinant whose elements are 0 or -1.

The largest value of a third order determinant whose elements are equal to 1 or 0 is

Minimum value of a second order determinant whose each is either 1 or 2 is equal to

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

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 the value of a third order determinant is 12, then find the value of the determinant formed by replacing each element by its co-factor

If the value of a third order determinant is 11, find the value of the square of the determinat formed by the cofactors.

If all elements of a third order determinant are equal to 1 or -1 . then determinant itself is (i) An Odd Integer (ii) An Even Integer (iii) An Imaginary Number (iv) multiple of 3

Let a ,b ,c be positive and not all equal. Show that the value of the determinant |[a, b, c],[b, c, a],[ c, a ,b]| is negative.

Without expanding, show that the value of each of the determinants is zero: |1/a a^2 bc 1/b b^2 ac 1/c c^2 ab|