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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

Compare question counts across years.

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. Search these papers or sort by year and name.

Paper nameYearPDFAttempt
Production and Industrial Engineering (PI) 20262026
1 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
Production & Industrial Engineering (PI) 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
Production & Industrial Engineering (PI) 20242024
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
Production & Industrial Engineering (PI) 20232023
3 questions in this view		2023
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Production & Industrial Engineering (PI) 20222022
3 questions in this view		2022
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Production & Industrial Engineering (PI) 20212021
2 questions in this view		2021
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Production & Industrial Engineering (PI) 20202020
1 questions in this view		2020
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Production & Industrial Engineering (PI) 20192019
4 questions in this view		2019
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Production & Industrial Engineering (PI) 20182018
2 questions in this view		2018
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Production & Industrial Engineering (PI) 20172017
2 questions in this view		2017
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Production & Industrial Engineering (PI) 20162016
2 questions in this view		2016
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Production & Industrial Engineering (PI) 2013 [Session 1]2013
3 questions in this view		2013
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Production & Industrial Engineering (PI) 2013 [Session 2]2013
3 questions in this view		2013
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Production & Industrial Engineering (PI) 2013 [Session 4]2013
3 questions in this view		2013
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Production & Industrial Engineering (PI) 20122012
3 questions in this view		2012
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Production & Industrial Engineering (PI) 20112011
6 questions in this view		2011
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Production & Industrial Engineering (PI) 20102010
2 questions in this view		2010
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Production & Industrial Engineering (PI) 20092009
4 questions in this view		2009
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Production & Industrial Engineering (PI) 20082008
4 questions in this view		2008
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Production & Industrial Engineering (PI) 20072007
7 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 · 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
Open complete paper
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
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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