CUET Mathematics - If bmatrix3 & 1\\2 & 1bmatrixAbmatrix2 & 1\\1 & 1bmatrix = bmatrix1 & 1\\0 & 1bmatrix, then matrix 'A' is | PYQs + Solutions

CUET Mathematics 2025 2 June Shift 1

Algebra

Medium

common

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

$\begin{bmatrix}-1 & 1\\3 & -4\end{bmatrix}$

$\begin{bmatrix}1 & -1\\-3 & 4\end{bmatrix}$

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

✅ Correct Option: 3

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If $A = \begin{bmatrix} 4 & 5 \\ 2 & 1 \end{bmatrix}$ and $I$ is an identity matrix of order 2, then $A - 3I$ equals

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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:

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 2 June Shift 1 PYQs