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Question

Question: The value of third order determinant is 11, then the value of the square of determinant formed by th...

The value of third order determinant is 11, then the value of the square of determinant formed by the cofactors will be :

A

11

B

121

C

1331

D

14641

Answer

14641

Explanation

Solution

|AdjA|2 = A(n1)2|A|^{(n - 1)^{2}} = (11)22(11)^{2^{2}}= 114 = 14641