CUET PYQs for Adjoint and Inverse of a Matrix with Solutions: Practice CUET Previous Year Questions

Content Writer | Journalism Graduate | Updated 3+ months ago

Adjoint and Inverse of a Matrix is an important topic in the Mathematics section in CUET exam. Practising this topic will increase your score overall and make your conceptual grip on CUET exam stronger.

This article gives you a full set of CUET PYQs for Adjoint and Inverse of a Matrix with explanations for effective preparation. Practice of CUET Mathematics PYQs including Adjoint and Inverse of a Matrix questions regularly will improve accuracy, speed, and confidence in the CUET 2026 exam.

CUET PYQs for Adjoint and Inverse of a Matrix with Solutions

1.
If \(|A|=3\) and \(A^{-1}=\begin{bmatrix} 3 &-1 \\[0.3em] \frac{-5}{3} & \frac{2}{3} \\[0.3em] \end{bmatrix}\) then adj \(A\) is
- \(\begin{bmatrix} 9 & 3 \\[0.3em] 5 &2 \end{bmatrix}\)
- \(\begin{bmatrix} -9 & 3 \\[0.3em] -5 &2 \end{bmatrix}\)
- \(\begin{bmatrix} 9 & -3 \\[0.3em] -5 &2 \end{bmatrix}\)
- \(\begin{bmatrix} -9 & 3 \\[0.3em] 5 &-2 \end{bmatrix}\)
View Solution
2.
If \(A=\begin{bmatrix} x & 1 \\ 1 & 0 \end{bmatrix}\)and A = A^-1, then the value of x is :
- 0
- 1
- 2
- 3
View Solution
3.
If \(A=\begin{bmatrix} -2&6\\-5&-1\end{bmatrix}\) then \(A^{-1}\) is:
- \(\frac{1}{28}\begin{bmatrix} 2&-5\\6&-1\end{bmatrix}\)
- \(\frac{1}{32}\begin{bmatrix} -1&6\\-5&-2\end{bmatrix}\)
- \(\frac{1}{32}\begin{bmatrix} -1&-6\\5&-2\end{bmatrix}\)
- \(\frac{-1}{28}\begin{bmatrix} -1&-6\\-5&-2\end{bmatrix}\)
View Solution
4.
If A is an invertible matrix, such that A² - A + I = 0, then the inverse of A is :
- A^-2
- I - A, where I is an identify matrix of order 2
- 0
- A
View Solution
5.
If A is a square matrix of order 3 and |A|=5, then |adj(adjA)| is:
- 125
- 625
- 75
- 375
View Solution
6.
If A = \(\begin{bmatrix}2a & 0& 0\\[0.3em]0& 2a& 0\\[0.3em]0&0 & 2a\\[0.3em] \end{bmatrix}\), then the value of \(|adj A|\)is:
- \(64a^6\)
- \(8a^3\)
- \(64a^3\)
- \(8a^6\)
View Solution
7.
If, A is a square matrix of order 3 and |A| = -2 then. \(|-2 \ A^{-1}|\) is:
- -4
- 4
- 8
- 2
View Solution
8.
If \(\begin{bmatrix} 1 & 3 & 5 \\[0.3em] 1 & 0 &3 \\[0.3em] 0 &1 &0 \end{bmatrix}\),then \(|(adjA)| \) is:
- \(2\)
- \(8\)
- \(4\)
- \(25\)
View Solution
9.
If A is a square matrix of order 3 such that |A|= 2, then the value of |adj(adj A)| is:
- 2
- 4
- 8
- 16
View Solution

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CUET PYQs for Adjoint and Inverse of a Matrix with Solutions

1.If \(|A|=3\) and \(A^{-1}=\begin{bmatrix} 3 &-1 \\[0.3em] \frac{-5}{3} & \frac{2}{3} \\[0.3em] \end{bmatrix}\) then adj \(A\) is

2.If \(A=\begin{bmatrix} x & 1 \\ 1 & 0 \end{bmatrix}\)and A = A-1, then the value of x is :

3.If \(A=\begin{bmatrix} -2&6\\-5&-1\end{bmatrix}\) then \(A^{-1}\) is:

4.If A is an invertible matrix, such that A2 - A + I = 0, then the inverse of A is :

5.If A is a square matrix of order 3 and |A|=5, then |adj(adjA)| is:

6.If A = \(\begin{bmatrix}2a & 0& 0\\[0.3em]0& 2a& 0\\[0.3em]0&0 & 2a\\[0.3em] \end{bmatrix}\), then the value of \(|adj A|\)is:

7.If, A is a square matrix of order 3 and |A| = -2 then. \(|-2 \ A^{-1}|\) is:

8.If \(\begin{bmatrix} 1 & 3 & 5 \\[0.3em] 1 & 0 &3 \\[0.3em] 0 &1 &0 \end{bmatrix}\),then \(|(adjA)| \) is:

9.If A is a square matrix of order 3 such that |A|= 2, then the value of |adj(adj A)| is:

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1.
If \(|A|=3\) and \(A^{-1}=\begin{bmatrix} 3 &-1 \\[0.3em] \frac{-5}{3} & \frac{2}{3} \\[0.3em] \end{bmatrix}\) then adj \(A\) is

2.
If \(A=\begin{bmatrix} x & 1 \\ 1 & 0 \end{bmatrix}\)and A = A^-1, then the value of x is :

3.
If \(A=\begin{bmatrix} -2&6\\-5&-1\end{bmatrix}\) then \(A^{-1}\) is:

4.
If A is an invertible matrix, such that A² - A + I = 0, then the inverse of A is :

5.
If A is a square matrix of order 3 and |A|=5, then |adj(adjA)| is:

6.
If A = \(\begin{bmatrix}2a & 0& 0\\[0.3em]0& 2a& 0\\[0.3em]0&0 & 2a\\[0.3em] \end{bmatrix}\), then the value of \(|adj A|\)is:

7.
If, A is a square matrix of order 3 and |A| = -2 then. \(|-2 \ A^{-1}|\) is:

8.
If \(\begin{bmatrix} 1 & 3 & 5 \\[0.3em] 1 & 0 &3 \\[0.3em] 0 &1 &0 \end{bmatrix}\),then \(|(adjA)| \) is:

9.
If A is a square matrix of order 3 such that |A|= 2, then the value of |adj(adj A)| is: