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Previous year question hub

Linear Algebra - Mathematics Previous Year Questions

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

20Papers
20Years
128Questions
1Topics

Linear Algebra question pattern

Every graph below is calculated only from this selection.

Questions by year

Compare question counts across years.

Difficulty distribution

How the classified questions are distributed by difficulty.

Medium 74 57.8%
Easy 48 37.5%
Hard 6 4.7%

Question type distribution

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

MCQ 77 60.2%
Numerical Answer Type (NAT) 37 28.9%
MSQ 11 8.6%
Fill in the blanks 3 2.3%

Subject weightage

Top subjects by unique question coverage.

Mathematics
128 Qs

Most asked topics

Top topics across the included previous year papers.

Linear Algebra
128 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Eigenvalues and Canonical Forms
57 Qs
Vector Spaces and Linear Transformations
49 Qs
Inner Products and Quadratic Forms
22 Qs

Paper coverage

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

Mathematics (MA) 2026
8 Qs
Mathematics (MA) 2025
6 Qs
Mathematics (MA) 2024
6 Qs
Mathematics (MA) 2023
7 Qs
Mathematics (MA) 2022
5 Qs
Mathematics (MA) 2021
6 Qs
Mathematics (MA) 2020
6 Qs
Mathematics (MA) 2019
5 Qs
Mathematics (MA) 2018
7 Qs
Mathematics (MA) 2017
5 Qs
Mathematics (MA) 2016
6 Qs
Mathematics (MA) 2015
2 Qs
Mathematics (MA) 2014
6 Qs
Mathematics (MA) 2013
8 Qs
Mathematics (MA) 2012
7 Qs
Mathematics (MA) 2011
7 Qs
Mathematics (MA) 2010
5 Qs
Mathematics (MA) 2009
7 Qs
Mathematics (MA) 2008
9 Qs
Mathematics (MA) 2007
10 Qs

Browse by subtopics

Open a focused page built from the same verified paper data.

Eigenvalues and Canonical Forms

Explore previous-paper coverage, trends and focused practice for Eigenvalues and Canonical Forms.

57 questions20 papers20 years

Vector Spaces and Linear Transformations

Explore previous-paper coverage, trends and focused practice for Vector Spaces and Linear Transformations.

49 questions17 papers17 years

Inner Products and Quadratic Forms

Explore previous-paper coverage, trends and focused practice for Inner Products and Quadratic Forms.

22 questions17 papers17 years

Included previous year papers

Newest papers appear first. Search these papers or sort by year and name.

Paper nameYearPDFAttempt
Mathematics (MA) 20262026
8 questions in this view		2026
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Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Mathematics (MA) 20252025
6 questions in this view		2025
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Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Mathematics (MA) 20242024
6 questions in this view		2024
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Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Mathematics (MA) 20232023
7 questions in this view		2023
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Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Mathematics (MA) 20222022
5 questions in this view		2022
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Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Mathematics (MA) 20212021
6 questions in this view		2021
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Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Mathematics (MA) 20202020
6 questions in this view		2020
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Official documents
Official question paperOriginal authority-issued PDF Official Download
Mathematics (MA) 20192019
5 questions in this view		2019
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Official documents
Official question paperOriginal authority-issued PDF Official Download
Mathematics (MA) 20182018
7 questions in this view		2018
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mathematics (MA) 20172017
5 questions in this view		2017
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mathematics (MA) 20162016
6 questions in this view		2016
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Official documents
Official question paperOriginal authority-issued PDF Official Download
Mathematics (MA) 20152015
2 questions in this view		2015
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Official question paperOriginal authority-issued PDF Official Download
Mathematics (MA) 20142014
6 questions in this view		2014
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Official documents
Official question paperOriginal authority-issued PDF Official Download
Mathematics (MA) 20132013
8 questions in this view		2013
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mathematics (MA) 20122012
7 questions in this view		2012
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mathematics (MA) 20112011
7 questions in this view		2011
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mathematics (MA) 20102010
5 questions in this view		2010
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mathematics (MA) 20092009
7 questions in this view		2009
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mathematics (MA) 20082008
9 questions in this view		2008
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mathematics (MA) 20072007
10 questions in this view		2007
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download

Sample previous year questions

A varied preview from the papers represented in this selection, with every available option.

1
2008 · Mathematics · Linear Algebra · Vector Spaces and Linear Transformations
Mathematics (MA) 2008
Consider the subspace \( W = \{[a_{ij}] : a_{ij} = 0 \text{ if } i \text{ is even}\} \) of all \(10 \times 10\) real matrices. Then the dimension of \(W\) is
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2
2009 · Mathematics · Linear Algebra · Vector Spaces and Linear Transformations
Mathematics (MA) 2009
The dimension of the vector space V = {A = (aij)n×n : aij ∈ ℂ, aij = –aji} over the field ℝ is
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3
2010 · Mathematics · Linear Algebra · Vector Spaces and Linear Transformations
Mathematics (MA) 2010
If the nullity of the matrix \( \begin{bmatrix} k & 1 & 2 \\ 1 & -1 & -2 \\ 1 & 1 & 4 \end{bmatrix} \) is 1, then the value of \( k \) is
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4
2011 · Mathematics · Linear Algebra · Eigenvalues and Canonical Forms
Mathematics (MA) 2011
The distinct eigenvalues of the matrix \[\begin{bmatrix} 1 & 1 & 0 \\ 1 & 1 & 0 \\ 0 & 0 & 0 \end{bmatrix}\] are
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5
2012 · Mathematics · Linear Algebra · Eigenvalues and Canonical Forms
Mathematics (MA) 2012
Let \(\alpha=e^{2\pi i/5}\) and the matrix \[M=\begin{bmatrix} 1 & \alpha & \alpha^2 & \alpha^3 & \alpha^4 \\ 0 & \alpha & \alpha^2 & \alpha^3 & \alpha^4 \\ 0 & 0 & \alpha^2 & \alpha^3 & \alpha^4 \\ 0 & 0 & 0 & \alpha^3 & \alpha^4 \\ 0 & 0 & 0 & 0 & \alpha^4 \end{bmatrix}.\] Then the trace of the matrix \(I+M+M^2\) is
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6
2013 · Mathematics · Linear Algebra · Eigenvalues and Canonical Forms
Mathematics (MA) 2013
The possible set of eigen values of a \(4\times 4\) skew-symmetric orthogonal real matrix is
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