CUET Mathematics - Let A be a square matrix of order 2 such that bmatrix 2 & 1 \\ 3 & 2 bmatrix A bmatrix -3 & 2 \\ 5 & -3 bmatrix = bmatrix 1 & 0 \\ 0 & 1 bmatrix, then A is: | PYQs + Solutions

CUET Mathematics 2025 15 May Shift 1

Algebra

Medium

applied

$\begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix}$

$\begin{bmatrix} 1 & 1 \\ 0 & 1 \end{bmatrix}$

$\begin{bmatrix} 1 & 1 \\ 1 & 0 \end{bmatrix}$

$\begin{bmatrix} 1 & -1 \\ 1 & 0 \end{bmatrix}$

✅ Correct Option: 3

Related questions:

3 June Shift 1

The value of $\begin{vmatrix} x & x+y & x+y+z \\ 2x & 3x+2y & 4x+3y+2z \\ 3x & 6x+3y & 10x+6y+3z \end{vmatrix}$ is

15 May Shift 1

Match List-I with List-II

List-I	List-II
(A) If $A$ is a non-singular matrix of order $n$ , then $\|A(\text{adj} A)\|$ is equal to	(I) $\|A\|^{n-1}$
(B) If $A$ is a non-singular matrix of order $n$ , then $\|\text{adj}(\text{adj} A)\|$ is equal to	(II) $\|A\|^{n-2} A$
(C) If $A$ is a non-singular matrix of order $n$ , then $\text{adj}(\text{adj} A)$ is equal to	(III) $\|A\|^n$
(D) If $A$ is a non-singular matrix of order $n$ , then $\|(\text{adj} A)\|$ is equal to	(IV) $\|A\|^{(n-1)^2}$

Choose the correct answer from the options given below:

2 June Shift 1

If the matrix $\begin{bmatrix}2 & -1 & 3\\ \lambda & 0 & 7\\-1 & 1 & 4\end{bmatrix}$ is not invertible, then value of $\lambda$ is

List-I	List-II
(A) If $A$ is a non-singular matrix of order $n$ , then $\|A(\text{adj} A)\|$ is equal to	(I) $\|A\|^{n-1}$
(B) If $A$ is a non-singular matrix of order $n$ , then $\|\text{adj}(\text{adj} A)\|$ is equal to	(II) $\|A\|^{n-2} A$
(C) If $A$ is a non-singular matrix of order $n$ , then $\text{adj}(\text{adj} A)$ is equal to	(III) $\|A\|^n$
(D) If $A$ is a non-singular matrix of order $n$ , then $\|(\text{adj} A)\|$ is equal to	(IV) $\|A\|^{(n-1)^2}$

CUET Mathematics 2025 15 May Shift 1 PYQs