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Previous year question hub

Linear Algebra - Engineering Mathematics - Production & Industrial Engineering Previous Year Questions

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

20Papers
18Years
57Questions
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 54 94.7%
Medium 3 5.3%

Question type distribution

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

MCQ 51 89.5%
Numerical Answer Type (NAT) 6 10.5%

Subject weightage

Top subjects by unique question coverage.

Production & Industrial Engineering
57 Qs

Most asked topics

Top topics across the included previous year papers.

Engineering Mathematics
57 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Linear Algebra
57 Qs

Paper coverage

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

Production and Industrial Engineering (PI) 2026
1 Qs
Production & Industrial Engineering (PI) 2025
1 Qs
Production & Industrial Engineering (PI) 2024
1 Qs
Production & Industrial Engineering (PI) 2023
3 Qs
Production & Industrial Engineering (PI) 2022
3 Qs
Production & Industrial Engineering (PI) 2021
2 Qs
Production & Industrial Engineering (PI) 2020
1 Qs
Production & Industrial Engineering (PI) 2019
4 Qs
Production & Industrial Engineering (PI) 2018
2 Qs
Production & Industrial Engineering (PI) 2017
2 Qs
Production & Industrial Engineering (PI) 2016
2 Qs
Production & Industrial Engineering (PI) 2013 [Session 1]
3 Qs
Production & Industrial Engineering (PI) 2013 [Session 2]
3 Qs
Production & Industrial Engineering (PI) 2013 [Session 4]
3 Qs
Production & Industrial Engineering (PI) 2012
3 Qs
Production & Industrial Engineering (PI) 2011
6 Qs
Production & Industrial Engineering (PI) 2010
2 Qs
Production & Industrial Engineering (PI) 2009
4 Qs
Production & Industrial Engineering (PI) 2008
4 Qs
Production & Industrial Engineering (PI) 2007
7 Qs

Included previous year papers

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

PaperYear / sessionQuestions in this viewOpen
Production and Industrial Engineering (PI) 202620261View paper
Production & Industrial Engineering (PI) 202520251View paper
Production & Industrial Engineering (PI) 202420241View paper
Production & Industrial Engineering (PI) 202320233View paper
Production & Industrial Engineering (PI) 202220223View paper
Production & Industrial Engineering (PI) 202120212View paper
Production & Industrial Engineering (PI) 202020201View paper
Production & Industrial Engineering (PI) 201920194View paper
Production & Industrial Engineering (PI) 201820182View paper
Production & Industrial Engineering (PI) 201720172View paper
Production & Industrial Engineering (PI) 201620162View paper
Production & Industrial Engineering (PI) 2013 [Session 1]20133View paper
Production & Industrial Engineering (PI) 2013 [Session 2]20133View paper
Production & Industrial Engineering (PI) 2013 [Session 4]20133View paper
Production & Industrial Engineering (PI) 201220123View paper
Production & Industrial Engineering (PI) 201120116View paper
Production & Industrial Engineering (PI) 201020102View paper
Production & Industrial Engineering (PI) 200920094View paper
Production & Industrial Engineering (PI) 200820084View paper
Production & Industrial Engineering (PI) 200720077View paper

All Linear Algebra previous year questions

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

1
2007 · Production & Industrial Engineering · Engineering Mathematics · Linear Algebra
Production & Industrial Engineering (PI) 2007
The determinant \[ \begin{vmatrix} 1+b & b & 1 \\ b & 1+b & b \\ 1 & 2b & 1 \end{vmatrix} \] evaluates to
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2
2007 · Production & Industrial Engineering · Engineering Mathematics · Linear Algebra
Production & Industrial Engineering (PI) 2007
The determinant \[ \begin{vmatrix} 1+b & b & \\ b & 1+b & \\ 1 & 2b & \end{vmatrix} \] evaluates to
Open complete paper
3
2007 · Production & Industrial Engineering · Engineering Mathematics · Linear Algebra
Production & Industrial Engineering (PI) 2007
If A is square symmetric real valued matrix of dimension 2n, the eigenvalues of A are
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4
2007 · Production & Industrial Engineering · Engineering Mathematics · Linear Algebra
Production & Industrial Engineering (PI) 2007
\( q_1, ..., q_m \) are n-dimensional vectors, with m < n. This set of vectors is linearly dependent. Q is the matrix with \( q_1, ..., q_m \) as the columns. The rank of Q is
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5
2007 · Production & Industrial Engineering · Engineering Mathematics · Linear Algebra
Production & Industrial Engineering (PI) 2007
\( q_1, ..., q_n \) are n-dimensional vectors, with \( m < n \). This set of vectors is linearly dependent. \( Q \) is the matrix with \( q_1, ..., q_n \) as the columns. The rank of \( Q \) is
Open complete paper
6
2007 · Production & Industrial Engineering · Engineering Mathematics · Linear Algebra
Production & Industrial Engineering (PI) 2007
The geometric transformation specified by $[x' \; y' \; 1] = [x \; y \; 1] \begin{bmatrix} 0.5 & 0 & 0 \\ 0 & 0.25 & 0 \\ 1 & 2 & 1 \end{bmatrix}$ in a 2D CAD system represents
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7
2008 · Production & Industrial Engineering · Engineering Mathematics · Linear Algebra
Production & Industrial Engineering (PI) 2008
The eigenvector pair of the matrix $\begin{pmatrix} 3 & 4 \\ 4 & -3 \end{pmatrix}$ is
Open complete paper
8
2008 · Production & Industrial Engineering · Engineering Mathematics · Linear Algebra
Production & Industrial Engineering (PI) 2008
The eigenvector pair of the matrix \(\begin{pmatrix} 3 & 4 \\ 4 & -3 \end{pmatrix}\) is
Open complete paper
9
2008 · Production & Industrial Engineering · Engineering Mathematics · Linear Algebra
Production & Industrial Engineering (PI) 2008
Inverse of the matrix \(\begin{pmatrix} 0 & 1 & 0 \\ 1 & 0 & 0 \\ 0 & 0 & 1 \end{pmatrix}\) is
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10
2009 · Production & Industrial Engineering · Engineering Mathematics · Linear Algebra
Production & Industrial Engineering (PI) 2009
The value of the determinant \(\begin{vmatrix} 1 & 3 & 2 \\ 4 & 1 & 1 \\ 2 & 1 & 3 \end{vmatrix}\) is
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11
2009 · Production & Industrial Engineering · Engineering Mathematics · Linear Algebra
Production & Industrial Engineering (PI) 2009
The value of \(x_3\) obtained by solving the following system of linear equations is \[ \begin{aligned} x_1 + 2x_2 - 2x_3 &= 4 \\ 2x_1 + x_2 + x_3 &= -2 \\ -x_1 + x_2 - x_3 &= 2 \end{aligned} \]
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12
2009 · Production & Industrial Engineering · Engineering Mathematics · Linear Algebra
Production & Industrial Engineering (PI) 2009
The value of \(x_3\) obtained by solving the following system of linear equations is
\(\begin{aligned} x_1 + 2x_2 - 2x_3 &= 4 \\ 2x_1 + x_2 + x_3 &= -2 \\ -x_1 + x_2 - x_3 &= 2 \end{aligned}\)
Open complete paper
13
2010 · Production & Industrial Engineering · Engineering Mathematics · Linear Algebra
Production & Industrial Engineering (PI) 2010
The value of \( q \) for which the following set of linear algebraic equations
\(2x + 3y = 0\)
\(6x + qy = 0\)
can have non-trivial solution is
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14
2010 · Production & Industrial Engineering · Engineering Mathematics · Linear Algebra
Production & Industrial Engineering (PI) 2010
If \(\{1,0,-1\}^T\) is an eigenvector of the following matrix,
\[ \begin{bmatrix} 1 & -1 & 0 \\ -1 & 2 & -1 \\ 0 & -1 & 1 \end{bmatrix} \]
then the corresponding eigenvalue is
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15
2011 · Production & Industrial Engineering · Engineering Mathematics · Linear Algebra
Production & Industrial Engineering (PI) 2011
If matrix A = \begin{bmatrix} 2 & 4 \\ 1 & 3 \end{bmatrix} and matrix B = \begin{bmatrix} 4 & 6 \\ 5 & 9 \end{bmatrix}, the transpose of product of these two matrices, i.e. (AB)^T is equal to
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16
2011 · Production & Industrial Engineering · Engineering Mathematics · Linear Algebra
Production & Industrial Engineering (PI) 2011
If A (0,4,3), B (0,0,0) and C (3,0,4) are three points defined in x, y, z coordinate system, then which one of the following vectors is perpendicular to both the line vectors \overrightarrow{BA} and \overrightarrow{BC}?
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17
2011 · Production & Industrial Engineering · Engineering Mathematics · Linear Algebra
Production & Industrial Engineering (PI) 2011
If matrix \( A = \begin{bmatrix} 2 & 4 \\ 1 & 3 \end{bmatrix} \) and matrix \( B = \begin{bmatrix} 4 & 6 \\ 5 & 9 \end{bmatrix} \), the transpose of product of these two matrices, i.e. \((AB)^T\) is equal to
Open complete paper
18
2011 · Production & Industrial Engineering · Engineering Mathematics · Linear Algebra
Production & Industrial Engineering (PI) 2011
If A (0,4,3), B (0,0,0) and C (3,0,4) are three points defined in x, y, z coordinate system, then which one of the following vectors is perpendicular to both the line vectors \( \vec{BA} \) and \( \vec{BC} \)?
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19
2011 · Production & Industrial Engineering · Engineering Mathematics · Linear Algebra
Production & Industrial Engineering (PI) 2011
The eigen values of the following matrix are
\[\begin{bmatrix} 10 & -4 \\ 18 & -12 \end{bmatrix}\]
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20
2011 · Production & Industrial Engineering · Engineering Mathematics · Linear Algebra
Production & Industrial Engineering (PI) 2011
The eigen values of the following matrix are \[ \begin{bmatrix} 10 & -4 \\ 18 & -12 \end{bmatrix} \]
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Showing 20 of 50 questions