If $A$ is a square matrix of order 3 such that $A(adj\,A)=\begin{bmatrix}-3 & 0 & 0\\0 & -3 & 0\\0 & 0 & -3\end{bmatrix}$, then which of the following is NOT correct?

The sum of the products of elements of any row with the cofactors of corresponding elements is equal to :

If a matrix has 8 elements then the possible order(s) it may have

(A) $8 \times 1$

(B) $5 \times 3$

(C) $6 \times 2$

(D) $2 \times 4$

Choose the correct answer from the options given below:

The minimum value of $\begin{vmatrix}2 & 2 & 2 \\ 2 & 2+x & 2 \\ 2 & 2 & 2+x\end{vmatrix}$, $x \in R$ is

If A and B are symmetric matrices, then AB - BA is

If $A = \begin{bmatrix} 1 & -2 & 3 \\ -4 & 2 & 4 \end{bmatrix}$ and $B = \begin{bmatrix} 1 & -2 \\ 3 & -4 \\ 2 & 4 \end{bmatrix}$, then $AB$ is :

If A and B are square matrices of order n, such that AB = A and BA = B, then $A^2$ =