If A is a square matrix of order 3 such that |A| = 3, then the value of |adj A| + |adj (adj A)| is Option 1: 108 Option 2: 90 Option 3: 26 Option 4: 74

The answer is '90'. View full solution:

CUET Mathematics - If A is a square matrix of order 3 such that |A| = 3, then the value of |adj A| + |adj (adj A)| is | PYQs + Solutions

CUET Mathematics 2026 26th May Shift 2

Algebra

Medium

applied

108

✅ Correct Option: 2

Related questions:

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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23 May Shift 3

If $x, y$ & $z$ are non zero real numbers, the inverse of matrix $A = \begin{bmatrix} x & 0 & 0 \\ 0 & y & 0 \\ 0 & 0 & z \end{bmatrix}$ is :

16 May Shift 1

Which of the following are correct?

(A) For a square matrix A, if A³ = I, then A⁻¹ = A².

(B) The determinant of only a square matrix can be defined.

(D) If A and B are two non-singular matrices of the same order, then (AB)⁻¹ = B⁻¹A⁻¹.

Choose the correct answer from the options given below: