Question: If the value of a third order determinant is 11, then the value of the square of the determinant for...

Question

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

Answer 1

Solution

$\Delta' = \Delta^{n - 1} = \Delta^{3 - 1} = \Delta^{2} = (11)^{2} = 121$ . But we have to find the value of the square of the determinant, so required value is $(121)^{2} = 14641$ .