If A is an invertible matrix of order n , then the determinant of adj A is equal to :

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If $A$ is an invertible matrix of order $n$, then the determinant of $\operatorname{adj} A$ is equal to :

MathematicsMatricesAP EAMCETAP EAMCET 2006

Options:

A $|A|^n$
B $|A|^{n+1}$
C $|A|^{n-1}$
D $|A|^{n+2}$

Solution:

2189 Upvotes Verified Answer

The correct answer is: $|A|^{n-1}$

Since $A$ is invertible matrix of order $n$, then the determinant of adj $A=|A|^{n-1}$

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