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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.

26Papers
16Years
48Questions
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 42 87.5%
Medium 6 12.5%

Question type distribution

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

MCQ 41 85.4%
Numerical Answer Type (NAT) 6 12.5%
MSQ 1 2.1%

Subject weightage

Top subjects by unique question coverage.

Mechanical Engineering
48 Qs

Most asked topics

Top topics across the included previous year papers.

Engineering Mathematics
48 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Linear Algebra
48 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) 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. Sort by year, question coverage or name.

PaperYear / sessionQuestions in this viewOpen
Mechanical Engineering (ME) 202520251View paper
Mechanical Engineering (ME) 202420242View paper
Mechanical Engineering (ME) 202320231View paper
Mechanical Engineering (ME) 2021 [Session 1]20211View paper
Mechanical Engineering (ME) 2020 [Session 1]20203View paper
Mechanical Engineering (ME) 2020 [Session 2]20202View paper
Mechanical Engineering (ME) 2019 [Session 1]20192View paper
Mechanical Engineering (ME) 2018 [Session 1]20182View paper
Mechanical Engineering (ME) 2018 [Session 2]20182View paper
Mechanical Engineering (ME) 2016 [Session 1]20161View paper
Mechanical Engineering (ME) 2016 [Session 2]20161View paper
Mechanical Engineering (ME) 2016 [Session 3]20161View paper
Mechanical Engineering (ME) 2015 [Session 1]20151View paper
Mechanical Engineering (ME) 2015 [Session 2]20151View paper
Mechanical Engineering (ME) 2014 [Session 1]20142View paper
Mechanical Engineering (ME) 2014 [Session 3]20141View paper
Mechanical Engineering (ME) 2014 [Session 4]20141View paper
Mechanical Engineering (ME) 2013 [Session 1]20133View paper
Mechanical Engineering (ME) 2013 [Session 2]20132View paper
Mechanical Engineering (ME) 2013 [Session 3]20133View paper
Mechanical Engineering (ME) 2013 [Session 4]20133View paper
Mechanical Engineering (ME) 201120113View paper
Mechanical Engineering (ME) 201020101View paper
Mechanical Engineering (ME) 200920092View paper
Mechanical Engineering (ME) 200820084View paper
Mechanical Engineering (ME) 200720072View paper

All Linear Algebra previous year questions

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

1
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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2
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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3
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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4
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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5
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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6
2008 · Mechanical Engineering · Engineering Mathematics · Linear Algebra
Mechanical Engineering (ME) 2008
The dual for the LP in Q.74 is
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7
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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8
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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9
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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10
2011 · Mechanical Engineering · Engineering Mathematics · Linear Algebra
Mechanical Engineering (ME) 2011

Eigenvalues of a real symmetric matrix are always

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11
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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12
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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13
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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14
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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15
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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16
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
Open complete paper
17
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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18
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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19
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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20
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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Showing 20 of 40 questions