If A is a square matrix of order 3 with |A| = 4, then the value of |2 adj A| is: Option 1: 128 Option 2: 256 Option 3: 512 Option 4: 64

The answer is '128'. View full solution:

CUET Mathematics - If A is a square matrix of order 3 with |A| = 4, then the value of |2 adj A| is: | PYQs + Solutions

CUET Mathematics 2026 21st May Shift 2

Algebra

Easy

applied

128

256

512

✅ Correct Option: 1

Related questions:

26 May Shift 2

Match List-I with List-II

List-I	List-II
Matrix/equations	Values
(A) $\begin{bmatrix} 2x+1 & 3y \\ 0 & y^2-5y \end{bmatrix} = \begin{bmatrix} x+3 & y^2+2 \\ 0 & -6 \end{bmatrix}$	(I) $x = 2, y = -1$
(B) $\begin{bmatrix} 1 & 2 & -1 \\ x & 0 & 3 \\ y & 3 & 4 \end{bmatrix}$ is symmetric	(II) $x = 2, y = 2$
(C) $[x \ \ 1]\begin{bmatrix} 1 & 0 \\ -2 & -3 \end{bmatrix}\begin{bmatrix} 5 & 2 \\ 0 & y \end{bmatrix} = O$	(III) $x = -2, y = 2$
(D) $\begin{bmatrix} x & 0 \\ 1 & 1 \end{bmatrix}\begin{bmatrix} x & 0 \\ 1 & 1 \end{bmatrix} = \begin{bmatrix} 4 & 0 \\ -1 & y/2 \end{bmatrix}$	(IV) $x = 2, y = 0$

Choose the correct answer from the options given below:

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

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22 May Shift 1

The number of all possible matrices of order $2 \times2$ with each entry $0, 1$ or $2$ are.