Which of the following statements are correct ?

(A) $|A'|=|A|$ where A is the transpose of matrix A

(B) If $A=[a_{ij}]_{3×3},$ then $|4A|=64|A|$

(C) $|A|=|adj\, A|^{n-1},$ where n is the order of the matrix

(D) If A is  an invertible matrix of order 2, then $det(A^{-1})$ is equal to $\frac{1}{det(A)}$

Choose the correct answer from the options given below :

(A), (B), (D) Only

The correct answer is option (1) → (A), (B), (D) Only

(A), (B), (D) are already correct

C → incorrect

it should be $|Adj\,A|=|A|^{n-1}$

instead of $|A|=|Adj\,A|^{n-1}$