Question
Question: If the value of a third order determinant is 11, then the value of the square of the determinant for...
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 –
A
11
B
121
C
1331
D
14641
Answer
14641
Explanation
Solution
∆' = ∆n–1
∴ ∆' = ∆3–1 = ∆2 (Q n = 3) ⇒ ∆' = ∆2 ∴ ∆' = (11)2 ⇒ (∆')2
= (112)2
= (11)4 = 14641