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Previous year question hub

Matrices And Determinants - Algebra - Mathematics Previous Year Questions

Practice Matrices And Determinants - Algebra - Mathematics previous year questions organised from real papers, with year-wise coverage and clear topic navigation.

4Papers
4Years
6Questions
1Topics

Matrices And Determinants question pattern

Every graph below is calculated only from this selection.

Questions by year

Year-wise coverage for Matrices And Determinants. Each bar uses a separate theme-derived color.

Difficulty distribution

How the classified questions are distributed by difficulty.

Not classified 6 100%

Question type distribution

MCQ, numerical, multiple-select and other formats found in these papers.

Multiple Choices 6 100%

Subject weightage

Top subjects by unique question coverage.

Mathematics
6 Qs

Most asked topics

Top topics across the included previous year papers.

Algebra
6 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Matrices And Determinants
6 Qs

Paper coverage

Question coverage for the most populated papers. Every active PYP paper remains listed below.

IAT IISER 2025
2 Qs
IAT IISER 2023
1 Qs
IAT IISER 2022
1 Qs
IAT IISER 2020
2 Qs

Included previous year papers

Newest papers appear first. Sort by year, question coverage or name.

PaperYear / sessionQuestions in this viewOpen
IAT IISER 202520252View paper
IAT IISER 202320231View paper
IAT IISER 202220221View paper
IAT IISER 202020202View paper

All Matrices And Determinants previous year questions

Practice every matching question in batches of 20, with every available option.

1
2020 · Mathematics · Algebra · Matrices And Determinants
IAT IISER 2020
If $A=\left[\begin{array}{lll}1 & a & 0 \\ 0 & 1 & b \\ 0 & 0 & 1\end{array}\right]$, then the determinant of $I-A+A^2-A^3+A^4-\cdots+A^{2020}$ is
A
2020
B
$a^{2020}-b a^{2019}+\cdots-b^{2019} a+b^{2020}$
C
$2020^3$
D
1
Open complete paper
2
2020 · Mathematics · Algebra · Matrices And Determinants
IAT IISER 2020
The number of skew-symmetric matrices $A=\left[a_i j\right]_{3 \times 3}$, where $a_i j \in\{-3,-2,-1,0,1,2,3\}$ is:
A
$7^3$
B
$3^7$
C
$21^3$
D
$7^6$
Open complete paper
3
2022 · Mathematics · Algebra · Matrices And Determinants
IAT IISER 2022
Let $A$ be the matrix $\left[\begin{array}{ccc}\cos \theta & 0 & -\sin \theta \\ 1 & 1 & 1 \\ \sin \theta & 0 & \cos \theta\end{array}\right]$. For any natural number $k$, the determinant of $A^k$ is
A
0
B
1
C
-1
D
$(-1)^k$
Open complete paper
4
2023 · Mathematics · Algebra · Matrices And Determinants
IAT IISER 2023

Let $M$ be a $3 \times 3$ matrix with real entries such that

$$\left\{\left[\begin{array}{l} x_1 \\ x_2 \\ x_3 \end{array}\right]: M\left[\begin{array}{l} x_1 \\ x_2 \\ x_3 \end{array}\right]=\left[\begin{array}{l} 0 \\ 0 \\ 0 \end{array}\right]\right\}=\left\{\left[\begin{array}{l} x_1 \\ x_2 \\ x_3 \end{array}\right]: x_1+x_2=0=x_2+x_3\right\}$$

What is the value of the determinant of M ?

A
0
B
1
C
2
D
3
Open complete paper
5
2025 · Mathematics · Algebra · Matrices And Determinants
IAT IISER 2025

Let $A$ be a $3 \times 3$ matrix with real entries such that

$$A=\left[\begin{array}{ccc} 4 & -1 & \cos x \\ -1 & 5 x & 25 \\ x^2+1 & 25 & 7 \end{array}\right]$$

For how many values of $x$, the matrix $A$ is symmetric?

A

1

B

2

C

4

D

infinitely many

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6
2025 · Mathematics · Algebra · Matrices And Determinants
IAT IISER 2025

Let

$$A=\left\{x \in \mathbf{R} \left\lvert\,-31<\operatorname{det}\left[\begin{array}{cc} 3 x-1 & 2 \\ -2 & 5 \end{array}\right] \leq 29\right.\right\}$$

Which one of the following statements is TRUE?

A

$A=(-2,2]$

B

$A=(-2,2)$

C

$A=[-2,2)$

D

$A=[-2,2]$

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