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Theorems for Continuity

The value of ...

Question

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

11

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121

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1331

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14641

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Solution

The correct option is D $14641$
Given, determinant of order 3 is 11.
$Δ = 11$
Then , the value of determinant formed by cofactors is
$Δ^{'} = (Δ)^{n - 1}$
So, $Δ^{'} = 121$
Required value $= (Δ^{'})^{2} = (121)^{2} = 14641$

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