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Previous year question hub

Linear Algebra - Engineering Mathematics - Civil Engineering Previous Year Questions

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

24Papers
19Years
53Questions
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.

Easy 46 86.8%
Medium 7 13.2%

Question type distribution

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

MCQ 38 71.7%
Fill in the blanks 5 9.4%
MSQ 5 9.4%
Numerical Answer Type (NAT) 5 9.4%

Subject weightage

Top subjects by unique question coverage.

Civil Engineering
53 Qs

Most asked topics

Top topics across the included previous year papers.

Engineering Mathematics
53 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Linear Algebra
53 Qs

Paper coverage

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

Civil Engineering (CE) 2026
4 Qs
Civil Engineering (CE) 2026
2 Qs
Civil Engineering (CE) 2025 [Session 1]
2 Qs
Civil Engineering (CE) 2025 [Session 2]
2 Qs
Civil Engineering (CE) 2024 [Session 2]
3 Qs
Civil Engineering (CE) 2024 [Session 1]
1 Qs
Civil Engineering (CE) 2023 [Session 2]
3 Qs
Civil Engineering (CE) 2022 [Session 2]
3 Qs
Civil Engineering (CE) 2021 [Session 2]
3 Qs
Civil Engineering (CE) 2020 [Session 2]
1 Qs
Civil Engineering (CE) 2019 [Session 2]
2 Qs
Civil Engineering (CE) 2018 [Session 2]
2 Qs
Civil Engineering (CE) 2017 [Session 2]
2 Qs
Civil Engineering (CE) 2016 [Session 1]
1 Qs
Civil Engineering (CE) 2016 [Session 2]
1 Qs
Civil Engineering (CE) 2014 [Session 1]
2 Qs
Civil Engineering (CE) 2014 [Session 2]
2 Qs
Civil Engineering (CE) 2013
3 Qs
Civil Engineering (CE) 2012
2 Qs
Civil Engineering (CE) 2011
2 Qs
Civil Engineering (CE) 2010
1 Qs
Civil Engineering (CE) 2009
2 Qs
Civil Engineering (CE) 2008
4 Qs
Civil Engineering (CE) 2007
3 Qs

Included previous year papers

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

Paper nameYearPDFAttempt
Civil Engineering (CE) 20262026
4 questions in this view		2026
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Civil Engineering (CE) 20262026
2 questions in this view		2026
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Civil Engineering (CE) 2025 [Session 1]2025
2 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
Civil Engineering (CE) 2025 [Session 2]2025
2 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
Civil Engineering (CE) 2024 [Session 1]2024
1 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
Civil Engineering (CE) 2024 [Session 2]2024
3 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
Civil Engineering (CE) 2023 [Session 2]2023
3 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
Civil Engineering (CE) 2022 [Session 2]2022
3 questions in this view		2022
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Civil Engineering (CE) 2021 [Session 2]2021
3 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
Civil Engineering (CE) 2020 [Session 2]2020
1 questions in this view		2020
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Civil Engineering (CE) 2019 [Session 2]2019
2 questions in this view		2019
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Civil Engineering (CE) 2018 [Session 2]2018
2 questions in this view		2018
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Civil Engineering (CE) 2017 [Session 2]2017
2 questions in this view		2017
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Civil Engineering (CE) 2016 [Session 1]2016
1 questions in this view		2016
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Civil Engineering (CE) 2016 [Session 2]2016
1 questions in this view		2016
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Civil Engineering (CE) 2014 [Session 1]2014
2 questions in this view		2014
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Civil Engineering (CE) 2014 [Session 2]2014
2 questions in this view		2014
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Civil Engineering (CE) 20132013
3 questions in this view		2013
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Civil Engineering (CE) 20122012
2 questions in this view		2012
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Civil Engineering (CE) 20112011
2 questions in this view		2011
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Civil Engineering (CE) 20102010
1 questions in this view		2010
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Civil Engineering (CE) 20092009
2 questions in this view		2009
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Civil Engineering (CE) 20082008
4 questions in this view		2008
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Civil Engineering (CE) 20072007
3 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.

1
2007 · Civil Engineering · Engineering Mathematics · Linear Algebra
Civil Engineering (CE) 2007
The minimum and the maximum eigen values of the matrix \[\begin{bmatrix} 1 & 1 & 3 \\ 1 & 5 & 1 \\ 3 & 1 & 1 \end{bmatrix}\] are –2 and 6, respectively. What is the other eigen value?
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2
2007 · Civil Engineering · Engineering Mathematics · Linear Algebra
Civil Engineering (CE) 2007
For what values of α and β the following simultaneous equations have an infinite number of solutions?
x + y + z = 5; x + 3y + 3z = 9; x + 2y + αz = β
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3
2007 · Civil Engineering · Engineering Mathematics · Linear Algebra
Civil Engineering (CE) 2007
The inverse of the \(2 \times 2\) matrix \(\begin{bmatrix} 1 & 2 \\ 5 & 7 \end{bmatrix}\) is,
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4
2014 · Civil Engineering · Engineering Mathematics · Linear Algebra
Civil Engineering (CE) 2014 [Session 1]
Given the matrices \(J = \begin{bmatrix} 3 & 2 & 1 \\ 2 & 4 & 2 \\ 1 & 2 & 6 \end{bmatrix}\) and \(K = \begin{bmatrix} 1 \\ 2 \\ -1 \end{bmatrix}\), the product \(K^TJK\) is ______________
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5
2014 · Civil Engineering · Engineering Mathematics · Linear Algebra
Civil Engineering (CE) 2014 [Session 1]
The sum of Eigen values of the matrix, \([M]\) is where \([M] = \begin{bmatrix} 215 & 650 & 795 \\ 655 & 150 & 835 \\ 485 & 355 & 550 \end{bmatrix}\)
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6
2014 · Civil Engineering · Engineering Mathematics · Linear Algebra
Civil Engineering (CE) 2014 [Session 2]
The rank of the matrix \(\begin{bmatrix} 6 & 0 & 4 & 4 \\ -2 & 14 & 8 & 18 \\ 14 & -14 & 0 & -10 \end{bmatrix}\) is ______________
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7
2014 · Civil Engineering · Engineering Mathematics · Linear Algebra
Civil Engineering (CE) 2014 [Session 2]
The determinant of matrix \(\begin{bmatrix} 0 & 1 & 2 & 3 \\ 1 & 0 & 3 & 0 \\ 2 & 3 & 0 & 1 \\ 3 & 0 & 1 & 2 \end{bmatrix}\) is __________
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8
2016 · Civil Engineering · Engineering Mathematics · Linear Algebra
Civil Engineering (CE) 2016 [Session 1]
If the entries in each column of a square matrix \(M\) add up to 1, then an eigenvalue of \(M\) is
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9
2016 · Civil Engineering · Engineering Mathematics · Linear Algebra
Civil Engineering (CE) 2016 [Session 2]
Consider the following linear system.
\(x + 2y - 3z = a\)
\(2x + 3y + 3z = b\)
\(5x + 9y - 6z = c\)
This system is consistent if \(a, b\) and \(c\) satisfy the equation
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10
2017 · Civil Engineering · Engineering Mathematics · Linear Algebra
Civil Engineering (CE) 2017 [Session 2]
Consider the following simultaneous equations (with \(c_1\) and \(c_2\) being constants):
\(3x_1 + 2x_2 = c_1\)
\(4x_1 + x_2 = c_2\)
The characteristic equation for these simultaneous equations is
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11
2017 · Civil Engineering · Engineering Mathematics · Linear Algebra
Civil Engineering (CE) 2017 [Session 2]
If \( \mathbf{A} = \begin{bmatrix} 1 & 5 \\ 6 & 2 \end{bmatrix} \) and \( \mathbf{B} = \begin{bmatrix} 3 & 7 \\ 8 & 4 \end{bmatrix} \), \( \mathbf{A}\mathbf{B}^T \) is equal to
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12
2018 · Civil Engineering · Engineering Mathematics · Linear Algebra
Civil Engineering (CE) 2018 [Session 2]
The matrix \(\begin{pmatrix} 2 & -4 \\ 4 & -2 \end{pmatrix}\) has
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13
2018 · Civil Engineering · Engineering Mathematics · Linear Algebra
Civil Engineering (CE) 2018 [Session 2]
The rank of the following matrix is \(\begin{pmatrix} 1 & 1 & 0 & -2 \\ 2 & 0 & 2 & 2 \\ 4 & 1 & 3 & 1 \end{pmatrix}\)
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14
2019 · Civil Engineering · Engineering Mathematics · Linear Algebra
Civil Engineering (CE) 2019 [Session 2]
Euclidean norm (length) of the vector \([4 \; -2 \; -6]^T\) is
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15
2019 · Civil Engineering · Engineering Mathematics · Linear Algebra
Civil Engineering (CE) 2019 [Session 2]
The inverse of the matrix \[ \begin{bmatrix} 2 & 3 & 4 \\ 4 & 3 & 1 \\ 1 & 2 & 4 \end{bmatrix} \] is
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16
2020 · Civil Engineering · Engineering Mathematics · Linear Algebra
Civil Engineering (CE) 2020 [Session 2]
A 4×4 matrix [P] is given below
\[ [P] = \begin{bmatrix} 0 & 1 & 3 & 0 \\ -2 & 3 & 0 & 4 \\ 0 & 0 & 6 & 1 \\ 0 & 0 & 1 & 6 \end{bmatrix} \]
The eigenvalues of [P] are
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17
2021 · Civil Engineering · Engineering Mathematics · Linear Algebra
Civil Engineering (CE) 2021 [Session 2]
The rank of the matrix \(\begin{bmatrix} 5 & 0 & -5 & 0 \\ 0 & 2 & 0 & 1 \\ -5 & 0 & 5 & 0 \\ 0 & 1 & 0 & 2 \end{bmatrix}\) is
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18
2021 · Civil Engineering · Engineering Mathematics · Linear Algebra
Civil Engineering (CE) 2021 [Session 2]
If \(A\) is a square matrix then orthogonality property mandates
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19
2021 · Civil Engineering · Engineering Mathematics · Linear Algebra
Civil Engineering (CE) 2021 [Session 2]
The smallest eigenvalue and the corresponding eigenvector of the matrix \(\begin{bmatrix} 2 & -2 \\ -1 & 6 \end{bmatrix}\), respectively, are
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20
2022 · Civil Engineering · Engineering Mathematics · Linear Algebra
Civil Engineering (CE) 2022 [Session 2]

P and Q are two square matrices of the same order. Which of the following statement(s) is/are correct?

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Showing 20 of 53 questions