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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.

21Papers
16Years
44Questions
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 40 90.9%
Medium 4 9.1%

Question type distribution

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

MCQ 30 68.2%
Fill in the blanks 5 11.4%
Numerical Answer Type (NAT) 5 11.4%
MSQ 4 9.1%

Subject weightage

Top subjects by unique question coverage.

Civil Engineering
44 Qs

Most asked topics

Top topics across the included previous year papers.

Engineering Mathematics
44 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Linear Algebra
44 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) 2022 [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

Included previous year papers

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

PaperYear / sessionQuestions in this viewOpen
Civil Engineering (CE) 202620264View paper
Civil Engineering (CE) 202620262View paper
Civil Engineering (CE) 2025 [Session 1]20252View paper
Civil Engineering (CE) 2025 [Session 2]20252View paper
Civil Engineering (CE) 2024 [Session 1]20241View paper
Civil Engineering (CE) 2024 [Session 2]20243View paper
Civil Engineering (CE) 2022 [Session 2]20223View paper
Civil Engineering (CE) 2020 [Session 2]20201View paper
Civil Engineering (CE) 2019 [Session 2]20192View paper
Civil Engineering (CE) 2018 [Session 2]20182View paper
Civil Engineering (CE) 2017 [Session 2]20172View paper
Civil Engineering (CE) 2016 [Session 1]20161View paper
Civil Engineering (CE) 2016 [Session 2]20161View paper
Civil Engineering (CE) 2014 [Session 1]20142View paper
Civil Engineering (CE) 2014 [Session 2]20142View paper
Civil Engineering (CE) 201320133View paper
Civil Engineering (CE) 201220122View paper
Civil Engineering (CE) 201120112View paper
Civil Engineering (CE) 201020101View paper
Civil Engineering (CE) 200920092View paper
Civil Engineering (CE) 200820084View paper

All Linear Algebra previous year questions

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

1
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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2
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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3
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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4
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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5
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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6
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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7
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
Open complete paper
8
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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9
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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10
2018 · Civil Engineering · Engineering Mathematics · Linear Algebra
Civil Engineering (CE) 2018 [Session 2]
The rank of the following matrix is \(\begin{pmatrix} 1 & 1 & 0 & -2 \\ 2 & 0 & 2 & 2 \\ 4 & 1 & 3 & 1 \end{pmatrix}\)
Open complete paper
11
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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12
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
Open complete paper
13
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
Open complete paper
14
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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15
2022 · Civil Engineering · Engineering Mathematics · Linear Algebra
Civil Engineering (CE) 2022 [Session 2]
The components of pure shear strain in a sheared material are given in the matrix form:
\[ \boldsymbol{\epsilon} = \begin{bmatrix} 1 & 1 \\ 1 & -1 \end{bmatrix} \]
Here, Trace(\( \boldsymbol{\epsilon} \)) = 0. Given, \( P = \text{Trace}(\boldsymbol{\epsilon}^8) \) and \( Q = \text{Trace}(\boldsymbol{\epsilon}^{11}) \).
The numerical value of (P + Q) is _____. (in integer)
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16
2022 · Civil Engineering · Engineering Mathematics · Linear Algebra
Civil Engineering (CE) 2022 [Session 2]
Let \(\mathbf{y}\) be a non-zero vector of size 2022 × 1. Which of the following statement(s) is/are TRUE?
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17
2024 · Civil Engineering · Engineering Mathematics · Linear Algebra
Civil Engineering (CE) 2024 [Session 1]
What are the eigenvalues of the matrix \(\begin{bmatrix} 2 & 1 & 1 \\ 1 & 4 & 1 \\ 1 & 1 & 2 \end{bmatrix}\)?
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18
2024 · Civil Engineering · Engineering Mathematics · Linear Algebra
Civil Engineering (CE) 2024 [Session 2]
The statements P and Q are related to matrices \(\mathbf{A}\) and \(\mathbf{B}\), which are conformable for both addition and multiplication.

P: \((\mathbf{A} + \mathbf{B})^T = \mathbf{A}^T + \mathbf{B}^T\)
Q: \((\mathbf{A}\mathbf{B})^T = \mathbf{A}^T\mathbf{B}^T\)

Which one of the following options is CORRECT?
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19
2024 · Civil Engineering · Engineering Mathematics · Linear Algebra
Civil Engineering (CE) 2024 [Session 2]
Three vectors \(\vec{p}\), \(\vec{q}\), and \(\vec{r}\) are given as
\(\vec{p} = \hat{i} + \hat{j} + \hat{k}\)
\(\vec{q} = \hat{i} + 2\hat{j} + 3\hat{k}\)
\(\vec{r} = 2\hat{i} + 3\hat{j} + 4\hat{k}\)
Which of the following is/are CORRECT?
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20
2024 · Civil Engineering · Engineering Mathematics · Linear Algebra
Civil Engineering (CE) 2024 [Session 2]
Consider two matrices \(\mathbf{A} = \begin{bmatrix} 2 & 1 & 4 \\ 1 & 0 & 3 \end{bmatrix}\) and \(\mathbf{B} = \begin{bmatrix} -1 & 0 \\ 2 & 3 \\ 1 & 4 \end{bmatrix}\).
The determinant of the matrix \(\mathbf{AB}\) is __________
(in integer).
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Showing 20 of 44 questions