CUET Mathematics 2023 30 May Shift 3 PYQs

For the matrix $A = \begin{bmatrix} 2 & -1 & -1 \\ 0 & 2 & 3 \\ 1 & -2 & 1 \end{bmatrix}$, which of the following statements are correct?

(A) The order of the matrix is 3 × 3

(B) |A| = 21

(C) $|adj\ A| = 225$

(D) A is skew symmetric matrix

Choose the correct answer from the options given below:

The number of all different possible matrices of order $2 \times 2$ with each entry $-1$, $0$ or $1$ is :

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