CUET Mathematics 2025 30 May Shift 1 PYQs

Let A be any square matrix of order n, then which of the following are true?

(A) $| \text{adj } A| = |A|^{n-1}$

(B) $|A^{-1}| = \frac{1}{|A|}$

(C) $| \text{adj } A| = |A|^n$

(D) $(A^T)^{-1} = (A^{-1})^T$

Choose the correct answer from the options given below:

If $A = [a_{ij}]$ be square matrix of order 3, such that $a_{ij} = i + j$, $\forall i, j$ then which of the following are correct?

(A) A is a skew-symmetric matrix.

(B) A is a non-singular matrix.

(C) The inverse of A does not exist.

(D) A is a symmetric matrix.

Choose the correct answer from the options given below:

If the points (a, b), (c, d) and (a + c, b + d) are collinear, then