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Previous year question hub

Linear Algebra - Engineering Sciences Previous Year Questions

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

15Papers
15Years
30Questions
1Topics

Linear Algebra question pattern

Every graph below is calculated only from this selection.

Questions by year

Year-wise coverage for Linear Algebra. Each bar uses a separate theme-derived color.

Difficulty distribution

How the classified questions are distributed by difficulty.

Easy 16 53.3%
Medium 14 46.7%

Question type distribution

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

MCQ 18 60%
Numerical Answer Type (NAT) 9 30%
MSQ 3 10%

Subject weightage

Top subjects by unique question coverage.

Engineering Sciences
30 Qs

Most asked topics

Top topics across the included previous year papers.

Linear Algebra
30 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Algebra of real matrices
30 Qs

Paper coverage

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

Engineering Sciences (XE) 2026
3 Qs
Engineering Sciences (XE) 2025
2 Qs
Engineering Sciences (XE) 2024
2 Qs
Engineering Sciences (XE) 2023
2 Qs
Engineering Sciences (XE) 2022
3 Qs
Engineering Sciences (XE) 2021
2 Qs
Engineering Sciences (XE) 2020
3 Qs
Engineering Sciences (XE) 2019
2 Qs
Engineering Sciences (XE) 2018
2 Qs
Engineering Sciences (XE) 2017
1 Qs
Engineering Sciences (XE) 2016
1 Qs
Engineering Sciences (XE) 2014
2 Qs
Engineering Sciences (XE) 2013
1 Qs
Engineering Sciences (XE) 2012
3 Qs
Engineering Sciences (XE) 2008
1 Qs

Browse by subtopics

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

Algebra of real matrices

Explore previous-paper coverage, trends and focused practice for Algebra of real matrices.

30 questions15 papers15 years

Included previous year papers

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

PaperYear / sessionQuestions in this viewOpen
Engineering Sciences (XE) 202620263View paper
Engineering Sciences (XE) 202520252View paper
Engineering Sciences (XE) 202420242View paper
Engineering Sciences (XE) 202320232View paper
Engineering Sciences (XE) 202220223View paper
Engineering Sciences (XE) 202120212View paper
Engineering Sciences (XE) 202020203View paper
Engineering Sciences (XE) 201920192View paper
Engineering Sciences (XE) 201820182View paper
Engineering Sciences (XE) 201720171View paper
Engineering Sciences (XE) 201620161View paper
Engineering Sciences (XE) 201420142View paper
Engineering Sciences (XE) 201320131View paper
Engineering Sciences (XE) 201220123View paper
Engineering Sciences (XE) 200820081View paper

Sample previous year questions

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

1
2008 · Engineering Sciences · Linear Algebra · Algebra of real matrices
Engineering Sciences (XE) 2008
On solving the system of equations \( 4x + z = 5 \) \( x + 2y + 3z = 1 \) \( -y - 4z = 3, \) by \( LU \)- decomposition with \( u_{ii} = 1 \) for \( i = 1, 2, 3 \), the values of \( u_{23} \) and \( l_{31} \) are respectively
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2
2012 · Engineering Sciences · Linear Algebra · Algebra of real matrices
Engineering Sciences (XE) 2012
One of the parts (A, B, C, D) in the sentence given below contains an ERROR. Which one of the following is INCORRECT?
I requested that he should be given the driving test today instead of tomorrow.

Question diagram

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3
2013 · Engineering Sciences · Linear Algebra · Algebra of real matrices
Engineering Sciences (XE) 2013
For the matrix \(M=\left(\begin{array}{ccc}1 & 0 & -1 \\ 0 & 1 & -1 \\ 1 & 1 & -2\end{array}\right)\), consider the following statements: (P) The characteristic equation of \(M\) is \(\lambda^{3}-\lambda=0\). (Q) \(M^{-1}\) does not exist. (R) The matrix \(M\) is diagonalizable. Which of the above statements are true?
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4
2014 · Engineering Sciences · Linear Algebra · Algebra of real matrices
Engineering Sciences (XE) 2014
Let \( r \) and \( s \) be real numbers. If \( A = \begin{pmatrix} 1 & 2 & 0 \\ 2 & 0 & 3 \\ r & s & 0 \end{pmatrix} \) and \( b = \begin{pmatrix} 1 \\ 1 \\ s-1 \end{pmatrix} \), then the system of linear equations \( AX = b \) has
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5
2016 · Engineering Sciences · Linear Algebra · Algebra of real matrices
Engineering Sciences (XE) 2016
Let \( M = \begin{pmatrix} 1 & 1 \\ 0 & 1 \end{pmatrix} \). Which of the following is correct?
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6
2017 · Engineering Sciences · Linear Algebra · Algebra of real matrices
Engineering Sciences (XE) 2017
Consider the system of linear equations \begin{align*} 2x_2 + x_3 &= 0, \\ -2x_1 - x_3 &= 0, \\ -x_1 + x_2 &= 1. \end{align*} The above system has
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