CUET Mathematics 2025 27 May Shift 1 PYQs

Let A be any skew- symmetric matrix (where $A^T$ is Transpose of matrix A). Then which of the following statements are correct?

(A) $A^2$ is a symmetric matrix

(B) $A^2$ is a skew- symmetric matrix

(C) $A^T A = -A^2$

(D) $A^T A - AA^T = O$

Choose the correct answer from the options given below:

If the system of equations $2x + 5y = 7, 6x + \lambda y = 28$ is inconsistent, then

If $A = \begin{bmatrix} x+z & 2 & -3 \\ x & 0 & 4 \\ 3 & x-y & 0 \end{bmatrix}$ is a skew-symmetric matrix, then which of the following are true?

(A) $y > z > x$

(B) $x > y$

(C) $x + y + z > 0$

(D) $z > x$

Choose the correct answer from the options given below: