If A is a matrix of order 3,such that A(opera | vedclass

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(D) We are given the property $A(\operatorname{adj} A) = |A|I$. Comparing this with the given equation $A(\operatorname{adj} A) = 10I$,we get $|A| = 1

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$100$

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(D) We are given the property $A(\operatorname{adj} A) = |A|I$. Comparing this with the given equation $A(\operatorname{adj} A) = 10I$,we get $|A| = 10$. We know the property for the determinant of the adjoint of a matrix: $|\operatorname{adj} A| = |A|^{n-1}$,where $n$ is the order of the matrix. Here,$n = 3$,so $|\operatorname{adj} A| = |A|^{3-1} = |A|^2$. Substituting the value of $|A|$,we get $|\operatorname{adj} A| = 10^2 = 100$.

If $A$ is a matrix of order $3$,such that $A(\operatorname{adj} A) = 10I$,then $|\operatorname{adj} A| = $

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