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Previous year question hub

Linear Algebra - Engineering Mathematics - Computer Science & Information Technology Previous Year Questions

Practice Linear Algebra - Engineering Mathematics - Computer Science & Information Technology previous year questions organised from real papers, with year-wise coverage and clear topic navigation.

24Papers
17Years
43Questions
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 29 67.4%
Medium 14 32.6%

Question type distribution

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

MCQ 21 48.8%
Numerical Answer Type (NAT) 14 32.6%
MSQ 8 18.6%

Subject weightage

Top subjects by unique question coverage.

Computer Science & Information Technology
43 Qs

Most asked topics

Top topics across the included previous year papers.

Engineering Mathematics
43 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Linear Algebra
43 Qs

Paper coverage

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

Computer Science and Information Technology (CS) 2026
2 Qs
Computer Science and Information Technology (CS) 2026
2 Qs
Computer Science & Information Technology (CS) 2025 [Session 2]
3 Qs
Computer Science & Information Technology (CS) 2025 [Session 1]
2 Qs
Computer Science & Information Technology (CS) 2024 [Session 1]
2 Qs
Computer Science & Information Technology (CS) 2024 [Session 2]
2 Qs
Computer Science & Information Technology (CS) 2023 [Session 2]
2 Qs
Computer Science & Information Technology (CS) 2022 [Session 2]
3 Qs
Computer Science & Information Technology (CS) 2021 [Session 2]
2 Qs
Computer Science & Information Technology (CS) 2020 [Session 2]
1 Qs
Computer Science & Information Technology (CS) 2019 [Session 2]
2 Qs
Computer Science & Information Technology (CS) 2018 [Session 2]
2 Qs
Computer Science & Information Technology (CS) 2017 [Session 2]
2 Qs
Computer Science & Information Technology (CS) 2016 [Session 1]
1 Qs
Computer Science & Information Technology (CS) 2014 [Session 1]
2 Qs
Computer Science & Information Technology (CS) 2014 [Session 2]
2 Qs
Computer Science & Information Technology (CS) 2014 [Session 3]
2 Qs
Computer Science & Information Technology (CS) 2013 [Session 1]
1 Qs
Computer Science & Information Technology (CS) 2013 [Session 3]
1 Qs
Computer Science & Information Technology (CS) 2013 [Session 4]
1 Qs
Computer Science & Information Technology (CS) 2011
1 Qs
Computer Science & Information Technology (CS) 2010
1 Qs
Computer Science & Information Technology (CS) 2008
2 Qs
Computer Science & Information Technology (CS) 2007
2 Qs

Included previous year papers

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

Paper nameYearPDFAttempt
Computer Science and Information Technology (CS) 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
Computer Science and Information Technology (CS) 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
Computer Science & Information Technology (CS) 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
Computer Science & Information Technology (CS) 2025 [Session 2]2025
3 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
Computer Science & Information Technology (CS) 2024 [Session 1]2024
2 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
Computer Science & Information Technology (CS) 2024 [Session 2]2024
2 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
Computer Science & Information Technology (CS) 2023 [Session 2]2023
2 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
Computer Science & Information Technology (CS) 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
Computer Science & Information Technology (CS) 2021 [Session 2]2021
2 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
Computer Science & Information Technology (CS) 2020 [Session 2]2020
1 questions in this view		2020
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Computer Science & Information Technology (CS) 2019 [Session 2]2019
2 questions in this view		2019
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Computer Science & Information Technology (CS) 2018 [Session 2]2018
2 questions in this view		2018
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Computer Science & Information Technology (CS) 2017 [Session 2]2017
2 questions in this view		2017
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Computer Science & Information Technology (CS) 2016 [Session 1]2016
1 questions in this view		2016
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Computer Science & Information Technology (CS) 2014 [Session 1]2014
2 questions in this view		2014
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Computer Science & Information Technology (CS) 2014 [Session 2]2014
2 questions in this view		2014
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Computer Science & Information Technology (CS) 2014 [Session 3]2014
2 questions in this view		2014
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Computer Science & Information Technology (CS) 2013 [Session 1]2013
1 questions in this view		2013
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Computer Science & Information Technology (CS) 2013 [Session 3]2013
1 questions in this view		2013
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Computer Science & Information Technology (CS) 2013 [Session 4]2013
1 questions in this view		2013
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Computer Science & Information Technology (CS) 20112011
1 questions in this view		2011
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Computer Science & Information Technology (CS) 20102010
1 questions in this view		2010
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Computer Science & Information Technology (CS) 20082008
2 questions in this view		2008
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Computer Science & Information Technology (CS) 20072007
2 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 · Computer Science & Information Technology · Engineering Mathematics · Linear Algebra
Computer Science & Information Technology (CS) 2007
Let A be a 4×4 matrix with eigenvalues -5, -2, 1, 4. Which of the following is an eigenvalue of \(\begin{bmatrix} A & I \\ I & A \end{bmatrix}\), where I is the 4×4 identity matrix?
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2
2007 · Computer Science & Information Technology · Engineering Mathematics · Linear Algebra
Computer Science & Information Technology (CS) 2007
Consider the set of (column) vectors defined by X = {x ∈ R³ | x₁ + x₂ + x₃ = 0}, where xᵀ = [x₁, x₂, x₃]ᵀ. Which of the following is TRUE?
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3
2008 · Computer Science & Information Technology · Engineering Mathematics · Linear Algebra
Computer Science & Information Technology (CS) 2008
The following system of equations
\[ \begin{aligned} x_1 + x_2 + 2x_3 &= 1 \\ x_1 + 2x_2 + 3x_3 &= 2 \\ x_1 + 4x_2 + \alpha x_3 &= 4 \end{aligned} \]
has a unique solution. The only possible value(s) for \(\alpha\) is/are
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4
2008 · Computer Science & Information Technology · Engineering Mathematics · Linear Algebra
Computer Science & Information Technology (CS) 2008
How many of the following matrices have an eigenvalue 1? $\begin{bmatrix} 1 & 0 \\ 0 & 0 \end{bmatrix}$, $\begin{bmatrix} 0 & 1 \\ 0 & 0 \end{bmatrix}$, $\begin{bmatrix} 1 & -1 \\ 1 & 1 \end{bmatrix}$ and $\begin{bmatrix} -1 & 0 \\ 1 & -1 \end{bmatrix}$
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5
2010 · Computer Science & Information Technology · Engineering Mathematics · Linear Algebra
Computer Science & Information Technology (CS) 2010
Consider the following matrix
\[ A = \begin{bmatrix} 2 & 3 \\ x & y \end{bmatrix} \]
If the eigenvalues of A are 4 and 8, then
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6
2013 · Computer Science & Information Technology · Engineering Mathematics · Linear Algebra
Computer Science & Information Technology (CS) 2013 [Session 1]
Which one of the following does NOT equal ⎡1   x   x²⎤
⎢1   y   y²⎥?
⎣1   z   z²⎦
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7
2013 · Computer Science & Information Technology · Engineering Mathematics · Linear Algebra
Computer Science & Information Technology (CS) 2013 [Session 3]
Which one of the following does NOT equal \(\begin{vmatrix}1 & x & x^2\\1 & y & y^2\\1 & z & z^2\end{vmatrix}\)?
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8
2013 · Computer Science & Information Technology · Engineering Mathematics · Linear Algebra
Computer Science & Information Technology (CS) 2013 [Session 4]
Which one of the following does NOT equal \(\begin{vmatrix} 1 & x & x^2 \\ 1 & y & y^2 \\ 1 & z & z^2 \end{vmatrix}\)?
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9
2014 · Computer Science & Information Technology · Engineering Mathematics · Linear Algebra
Computer Science & Information Technology (CS) 2014 [Session 1]
Consider the following system of equations:
3x + 2y = 1
4x + 7z = 1
x + y + z = 3
x - 2y + 7z = 0
The number of solutions for this system is ________________
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10
2014 · Computer Science & Information Technology · Engineering Mathematics · Linear Algebra
Computer Science & Information Technology (CS) 2014 [Session 1]
The value of the dot product of the eigenvectors corresponding to any pair of different eigenvalues of a 4-by-4 symmetric positive definite matrix is _______________.
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11
2014 · Computer Science & Information Technology · Engineering Mathematics · Linear Algebra
Computer Science & Information Technology (CS) 2014 [Session 2]

The product of the non-zero eigenvalues of the matrix

\[\begin{bmatrix} 1 & 0 & 0 & 0 & 1 \\ 0 & 1 & 1 & 1 & 0 \\ 0 & 1 & 1 & 1 & 0 \\ 0 & 1 & 1 & 1 & 0 \\ 1 & 0 & 0 & 0 & 1 \end{bmatrix}\]

is ________.

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12
2014 · Computer Science & Information Technology · Engineering Mathematics · Linear Algebra
Computer Science & Information Technology (CS) 2014 [Session 2]
If the matrix \(A\) is such that \(A = \begin{bmatrix} 2 \\ -4 \\ 7 \end{bmatrix} \begin{bmatrix} 1 & 9 & 5 \end{bmatrix}\) then the determinant of \(A\) is equal to _____________.
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13
2014 · Computer Science & Information Technology · Engineering Mathematics · Linear Algebra
Computer Science & Information Technology (CS) 2014 [Session 3]
Which one of the following statements is TRUE about every n × n matrix with only real eigenvalues?
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14
2014 · Computer Science & Information Technology · Engineering Mathematics · Linear Algebra
Computer Science & Information Technology (CS) 2014 [Session 3]
If \( V_1 \) and \( V_2 \) are 4-dimensional subspaces of a 6-dimensional vector space \( V \), then the smallest possible dimension of \( V_1 \cap V_2 \) is ________.
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15
2016 · Computer Science & Information Technology · Engineering Mathematics · Linear Algebra
Computer Science & Information Technology (CS) 2016 [Session 1]
Two eigenvalues of a \(3 \times 3\) real matrix \(P\) are \((2 + \sqrt{-1})\) and 3. The determinant of \(P\) is __________.
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16
2017 · Computer Science & Information Technology · Engineering Mathematics · Linear Algebra
Computer Science & Information Technology (CS) 2017 [Session 2]
Let \(P = \begin{bmatrix} 1 & 1 & -1 \\ 2 & -3 & 4 \\ 3 & -2 & 3 \end{bmatrix}\) and \(Q = \begin{bmatrix} -1 & -2 & -1 \\ 6 & 12 & 6 \\ 5 & 10 & 5 \end{bmatrix}\) be two matrices. Then the rank of \(P+Q\) is ____________.
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17
2017 · Computer Science & Information Technology · Engineering Mathematics · Linear Algebra
Computer Science & Information Technology (CS) 2017 [Session 2]
If the characteristic polynomial of a \(3 \times 3\) matrix \(M\) over \(\mathbb{R}\) (the set of real numbers) is \(\lambda^3 - 4\lambda^2 + a\lambda + 30\), \(a \in \mathbb{R}\), and one eigenvalue of \(M\) is 2, then the largest among the absolute values of the eigenvalues of \(M\) is __________.
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18
2018 · Computer Science & Information Technology · Engineering Mathematics · Linear Algebra
Computer Science & Information Technology (CS) 2018 [Session 2]
Consider a matrix \(A = uv^T\) where \(u = \begin{pmatrix}1\\2\end{pmatrix}\), \(v = \begin{pmatrix}1\\1\end{pmatrix}\). Note that \(v^T\) denotes the transpose of \(v\). The largest eigenvalue of \(A\) is ____.
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19
2018 · Computer Science & Information Technology · Engineering Mathematics · Linear Algebra
Computer Science & Information Technology (CS) 2018 [Session 2]
Consider a matrix \(P\) whose only eigenvectors are the multiples of \(\begin{bmatrix} 1 \\ 4 \end{bmatrix}\). Consider the following statements. (I) \(P\) does not have an inverse (II) \(P\) has a repeated eigenvalue (III) \(P\) cannot be diagonalized Which one of the following options is correct?
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20
2019 · Computer Science & Information Technology · Engineering Mathematics · Linear Algebra
Computer Science & Information Technology (CS) 2019 [Session 2]
Let \( X \) be a square matrix. Consider the following two statements on \( X \).
I. \( X \) is invertible.
II. Determinant of \( X \) is non-zero.
Which one of the following is TRUE?
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Showing 20 of 43 questions