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CUET Mathematics 2026 PYQs21 May Shift 1. Free, no login required.

Algebra

past year questions, CUET Mathematics 2026 21 May Shift 1

Matrices & Determinants

past year questions, Algebra, CUET Mathematics 2026 21 May Shift 1

Easy

applied

Which of the following matrices are invertible?

(A) [2233]\begin{bmatrix} 2 & 2 \\ 3 & 3 \end{bmatrix}

(B) [2332]\begin{bmatrix} 2 & 3 \\ 3 & 2 \end{bmatrix}

(C) [3223]\begin{bmatrix} 3 & 2 \\ 2 & 3 \end{bmatrix}

(D) [3333]\begin{bmatrix} 3 & 3 \\ 3 & 3 \end{bmatrix}

Choose the correct answer from the options given below:

Solution

✅ Correct Option: 4

A matrix is invertible when its determinant is non-zero. (A) gives 6−6=06-6=0 and (D) gives 9−9=09-9=0, so both are singular. (B) gives 4−9=−54-9=-5 and (C) gives 9−4=59-4=5, both non-zero, so (B) and (C) are invertible.

Related questions:

2022: 25 May Shift 1

If ∣23−xx1∣=0\begin{vmatrix} 2 & 3-x \\ x & 1 \end{vmatrix} = 0, then the values of xx are:

2022: 30 Aug Shift 1

The area of rectangular field is:

2026: 15 May Shift 1

Match the LIST-I with LIST-II

LIST-I (Matrix A=A =)LIST-II (∣adjA∣=\vert adj A \vert =)
A.[2113]\begin{bmatrix}2 & 1\\ 1 & 3\end{bmatrix}I.33
B.[1032]\begin{bmatrix}1 & 0\\ 3 & 2\end{bmatrix}II.22
C.[3001]\begin{bmatrix}3 & 0\\ 0 & 1\end{bmatrix}III.55
D.[0−140]\begin{bmatrix}0 & -1\\ 4 & 0\end{bmatrix}IV.44

Choose the correct answer from the options given below:

2026: 21 May Shift 1

If Δ=∣1+a1111+b1111+c∣\Delta = \begin{vmatrix} 1+a & 1 & 1 \\ 1 & 1+b & 1 \\ 1 & 1 & 1+c \end{vmatrix}, Then

Match List-I with List-II

List-IList-II
Values of a,ba, b & ccvalue of Δ\Delta
(A). a=b=c=1a=b=c=1(I). 2
(B). a=−1,b=1,c=1a=-1,b=1,c=1(II). 0
(C). a=−1,b=−1,c=1a=-1,b=-1,c=1(III). -2
(D). a=−1,b=−1,c=−1a=-1,b=-1,c=-1(IV). 4

Choose the correct answer from the options given below:

2025: 14 May Shift 2

If A and B are two invertible matrices, then which of the following statements are correct?

(A) ∣A−1∣=∣A∣−1|A^{-1}| = |A|^{-1}

(B) adjA=∣A∣A−1adjA = |A|A^{-1}

(C) (AB)−1=A−1B−1(AB)^{-1} = A^{-1}B^{-1}

(D) (A+B)−1=A−1+B−1(A + B)^{-1} = A^{-1} + B^{-1}

Choose the correct answer from the options given below:

2026: 19 May Shift 2

The value of ∣abcbcacab∣\begin{vmatrix} a & b & c \\ b & c & a \\ c & a & b \end{vmatrix} is negative, if

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