CUET Mathematics 2025 3 June Shift 2 PYQs

If A and B are matrices of same order, then $(AB^T - BA^T)$ is always

If $A = [a_{ij}]_{3 \times 2}$ where $a_{ij} = i + j$, then

(A) A is a square matrix

(B) $a_{21} + a_{32} = 8$

(C) Number of elements in A is 6

(D) Transpose of $A = \begin{bmatrix}2 & 3 \\ 3 & 4 \\ 4 & 5\end{bmatrix}$

Choose the correct answer from the options given below:

If $A = \begin{bmatrix}1 & -1 \\ 2 & -1\end{bmatrix}$, $B = \begin{bmatrix}a & -1 \\ b & -1\end{bmatrix}$ and $(A + B)^2 = A^2 + B^2$ then