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Question
Mathematics
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
Q. 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
2403
162
Determinants
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A
11
11%
B
121
42%
C
1331
37%
D
14641
10%
Solution:
Δ
′
=
Δ
n
−
1
∴
Δ
′
=
Δ
3
−
1
=
Δ
2
(
∵
n
=
3
)
⇒
Δ
′
=
Δ
2
∴
Δ
′
=
(
11
)
2
⇒
(
Δ
′
)
2
=
(
1
1
2
)
2
=
(
11
)
4
=
14641