If $A$ is a non-singular matrix, then $\operatorname{Adj}\left(A^{-1}\right)=$
- A$(\operatorname{Adj} A)^{-1}$
- B$\frac{1}{|A|} A^{-1}$
- C$|A| A^{-1}$
- D$|A| A$
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Similar Questions
If $A = \begin{bmatrix} 1 & 2 & 0 \\ 0 & 1 & 2 \\ 2 & 0 & 1 \end{bmatrix}$,then find $adj(A)$.
Easy
View SolutionLet $P = [a_{ij}]$ be a $4 \times 4$ matrix. If $|P| = -2$,then the value of $|adj(3P)|$ is (where $|A|$ denotes the determinant value of matrix $A$).
If $k$ is a scalar and $I$ is a unit matrix of order $3$,then $adj(kI) = $
Medium
View SolutionLet $A$ be a $2 \times 2$ matrix.
$Statement-1: adj(adj A) = A$
$Statement-2: |adj A| = |A|$
$Statement-1: adj(adj A) = A$
$Statement-2: |adj A| = |A|$
If $A$ and $B$ are square matrices of the same order and $AB = 3I$, then $A^{-1}$ is equal to
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