Previous year question hub

Linear Algebra - Engineering Mathematics - Mechanical Engineering Previous Year Questions

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

27Papers

17Years

51Questions

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.

51questions

Easy 44 86.3%

Medium 7 13.7%

Question type distribution

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

51questions

MCQ 41 80.4%

Numerical Answer Type (NAT) 9 17.6%

MSQ 1 2%

Subject weightage

Top subjects by unique question coverage.

Mechanical Engineering

51 Qs

Most asked topics

Top topics across the included previous year papers.

Engineering Mathematics

51 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Linear Algebra

51 Qs

Paper coverage

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

Mechanical Engineering (ME) 2025

1 Qs

Mechanical Engineering (ME) 2024

2 Qs

Mechanical Engineering (ME) 2023

1 Qs

Mechanical Engineering (ME) 2021 [Session 1]

1 Qs

Mechanical Engineering (ME) 2020 [Session 1]

3 Qs

Mechanical Engineering (ME) 2020 [Session 2]

2 Qs

Mechanical Engineering (ME) 2019 [Session 1]

2 Qs

Mechanical Engineering (ME) 2018 [Session 1]

2 Qs

Mechanical Engineering (ME) 2018 [Session 2]

2 Qs

Mechanical Engineering (ME) 2017 [Session 2]

3 Qs

Mechanical Engineering (ME) 2016 [Session 1]

1 Qs

Mechanical Engineering (ME) 2016 [Session 2]

1 Qs

Mechanical Engineering (ME) 2016 [Session 3]

1 Qs

Mechanical Engineering (ME) 2015 [Session 1]

1 Qs

Mechanical Engineering (ME) 2015 [Session 2]

1 Qs

Mechanical Engineering (ME) 2014 [Session 1]

2 Qs

Mechanical Engineering (ME) 2014 [Session 3]

1 Qs

Mechanical Engineering (ME) 2014 [Session 4]

1 Qs

Mechanical Engineering (ME) 2013 [Session 1]

3 Qs

Mechanical Engineering (ME) 2013 [Session 3]

3 Qs

Mechanical Engineering (ME) 2013 [Session 4]

3 Qs

Mechanical Engineering (ME) 2013 [Session 2]

2 Qs

Mechanical Engineering (ME) 2011

3 Qs

Mechanical Engineering (ME) 2010

1 Qs

Mechanical Engineering (ME) 2009

2 Qs

Mechanical Engineering (ME) 2008

4 Qs

Mechanical Engineering (ME) 2007

2 Qs

Included previous year papers

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

Paper name	Year	PDF
Mechanical Engineering (ME) 20252025 1 questions in this view	2025	ExamElite PDFs ExamElite solutions Official documents Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Mechanical Engineering (ME) 20242024 2 questions in this view	2024	ExamElite PDFs ExamElite solutions Official documents Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Mechanical Engineering (ME) 20232023 1 questions in this view	2023	ExamElite PDFs ExamElite solutions Official documents Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Mechanical Engineering (ME) 2021 [Session 1]2021 1 questions in this view	2021	ExamElite PDFs ExamElite solutions Official documents Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Mechanical Engineering (ME) 2020 [Session 1]2020 3 questions in this view	2020	ExamElite PDFs ExamElite solutions Official documents Official question paperOriginal authority-issued PDF Official Download
Mechanical Engineering (ME) 2020 [Session 2]2020 2 questions in this view	2020	ExamElite PDFs ExamElite solutions Official documents Official question paperOriginal authority-issued PDF Official Download
Mechanical Engineering (ME) 2019 [Session 1]2019 2 questions in this view	2019	ExamElite PDFs ExamElite solutions Official documents Official question paperOriginal authority-issued PDF Official Download
Mechanical Engineering (ME) 2018 [Session 1]2018 2 questions in this view	2018	ExamElite PDFs ExamElite solutions Official documents Official question paperOriginal authority-issued PDF Official Download
Mechanical Engineering (ME) 2018 [Session 2]2018 2 questions in this view	2018	ExamElite PDFs ExamElite solutions Official documents Official question paperOriginal authority-issued PDF Official Download
Mechanical Engineering (ME) 2017 [Session 2]2017 3 questions in this view	2017	ExamElite PDFs ExamElite solutions Official documents Official question paperOriginal authority-issued PDF Official Download
Mechanical Engineering (ME) 2016 [Session 1]2016 1 questions in this view	2016	ExamElite PDFs ExamElite solutions Official documents Official question paperOriginal authority-issued PDF Official Download
Mechanical Engineering (ME) 2016 [Session 2]2016 1 questions in this view	2016	ExamElite PDFs ExamElite solutions Official documents Official question paperOriginal authority-issued PDF Official Download
Mechanical Engineering (ME) 2016 [Session 3]2016 1 questions in this view	2016	ExamElite PDFs ExamElite solutions Official documents Official question paperOriginal authority-issued PDF Official Download
Mechanical Engineering (ME) 2015 [Session 1]2015 1 questions in this view	2015	ExamElite PDFs ExamElite solutions Official documents Official question paperOriginal authority-issued PDF Official Download
Mechanical Engineering (ME) 2015 [Session 2]2015 1 questions in this view	2015	ExamElite PDFs ExamElite solutions Official documents Official question paperOriginal authority-issued PDF Official Download
Mechanical Engineering (ME) 2014 [Session 1]2014 2 questions in this view	2014	ExamElite PDFs ExamElite solutions Official documents Official question paperOriginal authority-issued PDF Official Download
Mechanical Engineering (ME) 2014 [Session 3]2014 1 questions in this view	2014	ExamElite PDFs ExamElite solutions Official documents Official question paperOriginal authority-issued PDF Official Download
Mechanical Engineering (ME) 2014 [Session 4]2014 1 questions in this view	2014	ExamElite PDFs ExamElite solutions Official documents Official question paperOriginal authority-issued PDF Official Download
Mechanical Engineering (ME) 2013 [Session 1]2013 3 questions in this view	2013	ExamElite PDFs ExamElite solutions Official documents Official question paperOriginal authority-issued PDF Official Download
Mechanical Engineering (ME) 2013 [Session 2]2013 2 questions in this view	2013	ExamElite PDFs ExamElite solutions Official documents Official question paperOriginal authority-issued PDF Official Download
Mechanical Engineering (ME) 2013 [Session 3]2013 3 questions in this view	2013	ExamElite PDFs ExamElite solutions Official documents Official question paperOriginal authority-issued PDF Official Download
Mechanical Engineering (ME) 2013 [Session 4]2013 3 questions in this view	2013	ExamElite PDFs ExamElite solutions Official documents Official question paperOriginal authority-issued PDF Official Download
Mechanical Engineering (ME) 20112011 3 questions in this view	2011	ExamElite PDFs ExamElite solutions Official documents Official question paperOriginal authority-issued PDF Official Download
Mechanical Engineering (ME) 20102010 1 questions in this view	2010	ExamElite PDFs ExamElite solutions Official documents Official question paperOriginal authority-issued PDF Official Download
Mechanical Engineering (ME) 20092009 2 questions in this view	2009	ExamElite PDFs ExamElite solutions Official documents Official question paperOriginal authority-issued PDF Official Download
Mechanical Engineering (ME) 20082008 4 questions in this view	2008	ExamElite PDFs ExamElite solutions Official documents Official question paperOriginal authority-issued PDF Official Download
Mechanical Engineering (ME) 20072007 2 questions in this view	2007	ExamElite PDFs ExamElite solutions Official documents Official question paperOriginal authority-issued PDF Official Download

All Linear Algebra previous year questions

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

2007 · Mechanical Engineering · Engineering Mathematics · Linear Algebra

Mechanical Engineering (ME) 2007

If a square matrix A is real and symmetric, then the eigenvalues

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2007 · Mechanical Engineering · Engineering Mathematics · Linear Algebra

Mechanical Engineering (ME) 2007

The number of linearly independent eigenvectors of \( \begin{bmatrix} 2 & 1 \\ 0 & 2 \end{bmatrix} \) is

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2008 · Mechanical Engineering · Engineering Mathematics · Linear Algebra

Mechanical Engineering (ME) 2008

The matrix \(\begin{bmatrix} 1 & 2 & 4 \\ 3 & 0 & 6 \\ 1 & 1 & p \end{bmatrix}\) has one eigenvalue equal to 3. The sum of the other two eigenvalues is

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2008 · Mechanical Engineering · Engineering Mathematics · Linear Algebra

Mechanical Engineering (ME) 2008

For what value of \(a\), if any, will the following system of equations in \(x, y\) and \(z\) have a solution? \(2x + 3y = 4\) \(x + y + z = 4\) \(x + 2y - z = a\)

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2008 · Mechanical Engineering · Engineering Mathematics · Linear Algebra

Mechanical Engineering (ME) 2008

The eigenvectors of the matrix \(\begin{bmatrix} 1 & 2 \\ 0 & 2 \end{bmatrix}\) are written in the form \(\begin{bmatrix} 1 \\ a \end{bmatrix}\) and \(\begin{bmatrix} 1 \\ b \end{bmatrix}\). What is \(a + b\)?

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2008 · Mechanical Engineering · Engineering Mathematics · Linear Algebra

Mechanical Engineering (ME) 2008

The dual for the LP in Q.74 is

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2009 · Mechanical Engineering · Engineering Mathematics · Linear Algebra

Mechanical Engineering (ME) 2009

For a matrix \( M = \begin{bmatrix} \frac{3}{5} & \frac{4}{5} \\ x & \frac{3}{5} \end{bmatrix} \), the transpose of the matrix is equal to the inverse of the matrix, \( [M]^T = [M]^{-1} \). The value of \( x \) is given by

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2009 · Mechanical Engineering · Engineering Mathematics · Linear Algebra

Mechanical Engineering (ME) 2009

Consider the following Linear Programming Problem (LPP):
Maximize \( z = 3x_1 + 2x_2 \)
Subject to
\( x_1 \le 4 \)
\( x_2 \le 6 \)
\( 3x_1 + 2x_2 \le 18 \)
\( x_1 \ge 0, x_2 \ge 0 \)

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2010 · Mechanical Engineering · Engineering Mathematics · Linear Algebra

Mechanical Engineering (ME) 2010

One of the eigen vectors of the matrix \( A = \begin{bmatrix} 2 & 2 \\ 1 & 3 \end{bmatrix} \) is

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2011 · Mechanical Engineering · Engineering Mathematics · Linear Algebra

Mechanical Engineering (ME) 2011

Eigenvalues of a real symmetric matrix are always

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2011 · Mechanical Engineering · Engineering Mathematics · Linear Algebra

Mechanical Engineering (ME) 2011

Consider the following system of equations: \[2x_1 + x_2 + x_3 = 0,\] \[x_2 - x_3 = 0,\] \[x_1 + x_2 = 0.\] This system has

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2011 · Mechanical Engineering · Engineering Mathematics · Linear Algebra

Mechanical Engineering (ME) 2011

A transponder receives the same number of orders each day. Currently, he has some pending orders (backlog) to be shipped. If he uses 7 trucks, then at the end of the 4th day he can clear all the orders. Alternatively, if he uses only 3 trucks, then all the orders are cleared at the end of the 10th day. What is the minimum number of trucks required so that there will be no pending order at the end of the 5th day?

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2013 · Mechanical Engineering · Engineering Mathematics · Linear Algebra

Mechanical Engineering (ME) 2013 [Session 1]

The eigenvalues of a symmetric matrix are all

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2013 · Mechanical Engineering · Engineering Mathematics · Linear Algebra

Mechanical Engineering (ME) 2013 [Session 1]

Choose the CORRECT set of functions, which are linearly dependent.

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2013 · Mechanical Engineering · Engineering Mathematics · Linear Algebra

Mechanical Engineering (ME) 2013 [Session 1]

A linear programming problem is shown below.
Maximize 3x + 7y
Subject to 3x + 7y ≤ 10
4x + 6y ≤ 8
x, y ≥ 0
It has

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2013 · Mechanical Engineering · Engineering Mathematics · Linear Algebra

Mechanical Engineering (ME) 2013 [Session 3]

A linear programming problem is shown below.
Maximize \(3x + 7y\)
Subject to \(3x + 7y \le 10\)
\(4x + 6y \le 8\)
\(x, y \ge 0\)
It has

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2014 · Mechanical Engineering · Engineering Mathematics · Linear Algebra

Mechanical Engineering (ME) 2014 [Session 1]

Given that the determinant of the matrix \[ \begin{bmatrix} 1 & 3 & 0 \\ 2 & 6 & 4 \\ -1 & 0 & 2 \end{bmatrix} \] is -12, the determinant of the matrix \[ \begin{bmatrix} 2 & 6 & 0 \\ 4 & 12 & 8 \\ -2 & 0 & 4 \end{bmatrix} \] is

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2014 · Mechanical Engineering · Engineering Mathematics · Linear Algebra

Mechanical Engineering (ME) 2014 [Session 1]

Which one of the following describes the relationship among the three vectors, \[ \hat{i} + \hat{j} + \hat{k} \], \[ 2\hat{i} + 3\hat{j} + \hat{k} \] and \[ 5\hat{i} + 6\hat{j} + 4\hat{k} \]?

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2014 · Mechanical Engineering · Engineering Mathematics · Linear Algebra

Mechanical Engineering (ME) 2014 [Session 3]

Consider a 3×3 real symmetric matrix S such that two of its eigenvalues are a ≠ 0, b ≠ 0 with respective eigenvectors ⎡x₁⎤ ⎡y₁⎤ ⎢x₂⎥, ⎢y₂⎥ ⎣x₃⎦ ⎣y₃⎦ . If a ≠ b then x₁y₁ + x₂y₂ + x₃y₃ equals

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2014 · Mechanical Engineering · Engineering Mathematics · Linear Algebra

Mechanical Engineering (ME) 2014 [Session 4]

Which one of the following equations is a correct identity for arbitrary 3×3 real matrices P, Q and R?

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Linear Algebra - Engineering Mathematics - Mechanical Engineering Previous Year Questions

Linear Algebra question pattern

Questions by year

Difficulty distribution

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Paper coverage

Included previous year papers

All Linear Algebra previous year questions

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Linear Algebra - Engineering Mathematics - Mechanical Engineering Previous Year Questions

Linear Algebra question pattern

Questions by year

Subject weightage

Most asked topics

Subtopic coverage

Paper coverage

Included previous year papers