Let $A$ and $B$ be two symmetric matrices of same order, then

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List-I	List-II
(A). $AB - BA$	(I). Neither symmetric nor Skew symmetric
(B). $BA - 2AB$	(II). Skew symmetric
(C). $AB + BA$	(III). Null matrix
(D). $(AB)^T - BA$	(IV). Symmetric

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If a matrix $A = \begin{bmatrix} 5 & -8 \\ -3 & 5 \end{bmatrix}$ then which of the following is / are TRUE?

(A) $|A| = 1$

(B) $A$ is a singular matrix.

(C) $-2A = \begin{bmatrix} 10 & -16 \\ -6 & 10 \end{bmatrix}$

(D) $AI = \begin{bmatrix} 5 & 0 \\ 0 & 5 \end{bmatrix}$ $I$ is an identity matrix of order 2.

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If $A$ and $B$ are invertible matrices of order $3$ then match List-I with List-II

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If $A$ and $B$ are matrices of the same order, then $AB^T - BA^T$ is a

If $\begin{bmatrix} x-y & t \\ 2x-y & w \end{bmatrix} = \begin{bmatrix} -1 & 2 \\ 0 & 1 \end{bmatrix}$, then $2x + y + 3t + w$ is equal to

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If $A=\begin{bmatrix}4 & 1\\2 & 3\end{bmatrix}$ and $B=\begin{bmatrix}-2 & 3\\1 & 2\end{bmatrix}$ such that $2B-3A+X=0$ then $X$ is