CUET Mathematics - Let A be a square matrix of order n, then which of the following are TRUE? (A) |adj A| = |A|^n-1 (B) |A. adj A| = |A|^n (C) A. (adj A) = |A| (D) |KA| = K|A| (E) |A^-1| = 1/|A|, |A| ≠ 0 Choose the correct answer from the options given below: | PYQs + Solutions

CUET Mathematics 2025 22 May Shift 1

Algebra

Medium

core

(A), (B) and (E) only

(A), (B), (C) and (E) only

(B), (C) and (D) only

(C), (D) and (E) only

✅ Correct Option: 1

Related questions:

14 May Shift 2

If A and B are two invertible matrices, then which of the following statements are correct?

(A) $|A^{-1}| = |A|^{-1}$

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

(D) $(A + B)^{-1} = A^{-1} + B^{-1}$

Choose the correct answer from the options given below:

21 May Shift 2

The matrix $X$ in the equation $AX = B$ , such that $A = \begin{bmatrix} 1 & 3 \\ 0 & 2 \end{bmatrix}$ and $B = \begin{bmatrix} 1 & -1 \\ 0 & 2 \end{bmatrix}$ is given by

CUET Mathematics 2024 Slot 1

If $A$ is a square matrix of order $4$ and $|A|=4$ , then $|2 A|$ will be :

CUET Mathematics 2025 22 May Shift 1 PYQs

Keyboard Shortcuts