CUET Mathematics 2026 19th May Shift 1 PYQs

If $A$ and $B$ are symmetric matrices of the same order, then $A B-B A$ is a :

$\begin{vmatrix} a+b & 1 & 0 \\ a^2-b^2 & a-b & 1 \\ a^3+b^3 & a^2+b^2+ab & a^2-b^2 \end{vmatrix} =$

If $P = \begin{bmatrix}0 & 1\\ 1 & 1\end{bmatrix}$ and $Q = \begin{bmatrix}0 & -1\\ 1 & 0\end{bmatrix}$, then which of the following are correct?

(A) $P+Q$ is a singular matrix.

(B) $P-Q$ is a symmetric matrix.

(C) $P$ and $Q$ are non-singular matrices.

(D) $(P+Q)(P-Q) \neq P^2 - Q^2$

Choose the correct answer from the options given below: