CUET Mathematics 2025 16 May Shift 1 PYQs

If A is a square matrix such that $A^3 = A$ then which of the following statements are TRUE ? (Where I is an identity matrix of same order as A)

(A) $(I+A)^4 = I + 15A$

(B) $(I+A)^3 = I + 3A$

(C) $(I+A)^6 = I + 30A$

(D) $(I+A)^3 = I + 7A$

Choose the correct answer from the options given below:

If the matrix $\begin{bmatrix} 0 & 1 & 4x\ \\ -1 & 0 & -5 \\ 2 & 5 & y \end{bmatrix}$ is skew-symmetric, then

The value of $\begin{vmatrix}265 & 240 & 219 \\ 240 & 225 & 198 \\ 219 & 198 & 181\end{vmatrix}$ is