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Previous year question hub

Linear Algebra - Engineering Mathematics - Electronics & Communication Engineering Previous Year Questions

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

29Papers
20Years
50Questions
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 40 80%
Medium 10 20%

Question type distribution

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

MCQ 35 70%
Numerical Answer Type (NAT) 10 20%
MSQ 4 8%
Fill in the blanks 1 2%

Subject weightage

Top subjects by unique question coverage.

Electronics & Communication Engineering
50 Qs

Most asked topics

Top topics across the included previous year papers.

Engineering Mathematics
50 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Linear Algebra
50 Qs

Paper coverage

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

Electronics and Communication Engineering (EC) 2026
1 Qs
Electronics & Communication Engineering (EC) 2025
2 Qs
Electronics & Communication Engineering (EC) 2024
2 Qs
Electronics & Communication Engineering (EC) 2023
3 Qs
Electronics & Communication Engineering (EC) 2022
2 Qs
Electronics & Communication Engineering (EC) 2021
3 Qs
Electronics & Communication Engineering (EC) 2020
2 Qs
Electronics & Communication Engineering (EC) 2019
1 Qs
Electronics & Communication Engineering (EC) 2018
2 Qs
Electronics & Communication Engineering (EC) 2017 [Session 1]
3 Qs
Electronics & Communication Engineering (EC) 2017
2 Qs
Electronics & Communication Engineering (EC) 2017 [Session 2]
1 Qs
Electronics & Communication Engineering (EC) 2016 [Session 3]
2 Qs
Electronics & Communication Engineering (EC) 2016 [Session 2]
1 Qs
Electronics & Communication Engineering (EC) 2015 [Session 1]
1 Qs
Electronics & Communication Engineering (EC) 2015 [Session 3]
1 Qs
Electronics & Communication Engineering (EC) 2014 [Session 1]
1 Qs
Electronics & Communication Engineering (EC) 2014 [Session 2]
1 Qs
Electronics & Communication Engineering (EC) 2014 [Session 3]
1 Qs
Electronics & Communication Engineering (EC) 2013 [Session 1]
2 Qs
Electronics & Communication Engineering (EC) 2013 [Session 2]
2 Qs
Electronics & Communication Engineering (EC) 2013 [Session 3]
2 Qs
Electronics & Communication Engineering (EC) 2013 [Session 4]
2 Qs
Electronics & Communication Engineering (EC) 2012
2 Qs
Electronics & Communication Engineering (EC) 2011
1 Qs
Electronics & Communication Engineering (EC) 2010
1 Qs
Electronics & Communication Engineering (EC) 2009
1 Qs
Electronics & Communication Engineering (EC) 2008
3 Qs
Electronics & Communication Engineering (EC) 2007
2 Qs

Included previous year papers

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

Paper nameYearPDFAttempt
Electronics and Communication Engineering (EC) 20262026
1 questions in this view		2026
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Electronics & Communication Engineering (EC) 20252025
2 questions in this view		2025
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Electronics & Communication Engineering (EC) 20242024
2 questions in this view		2024
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Electronics & Communication Engineering (EC) 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
Electronics & Communication Engineering (EC) 20222022
2 questions in this view		2022
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Official documents
Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Electronics & Communication Engineering (EC) 20212021
3 questions in this view		2021
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Official documents
Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Electronics & Communication Engineering (EC) 20202020
2 questions in this view		2020
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Official documents
Official question paperOriginal authority-issued PDF Official Download
Electronics & Communication Engineering (EC) 20192019
1 questions in this view		2019
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Official documents
Official question paperOriginal authority-issued PDF Official Download
Electronics & Communication Engineering (EC) 20182018
2 questions in this view		2018
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Official documents
Official question paperOriginal authority-issued PDF Official Download
Electronics & Communication Engineering (EC) 20172017
2 questions in this view		2017
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Electronics & Communication Engineering (EC) 2017 [Session 1]2017
3 questions in this view		2017
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Electronics & Communication Engineering (EC) 2017 [Session 2]2017
1 questions in this view		2017
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Electronics & Communication Engineering (EC) 2016 [Session 2]2016
1 questions in this view		2016
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Electronics & Communication Engineering (EC) 2016 [Session 3]2016
2 questions in this view		2016
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Electronics & Communication Engineering (EC) 2015 [Session 1]2015
1 questions in this view		2015
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Electronics & Communication Engineering (EC) 2015 [Session 3]2015
1 questions in this view		2015
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Electronics & Communication Engineering (EC) 2014 [Session 1]2014
1 questions in this view		2014
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Electronics & Communication Engineering (EC) 2014 [Session 2]2014
1 questions in this view		2014
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Electronics & Communication Engineering (EC) 2014 [Session 3]2014
1 questions in this view		2014
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Electronics & Communication Engineering (EC) 2013 [Session 1]2013
2 questions in this view		2013
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Electronics & Communication Engineering (EC) 2013 [Session 2]2013
2 questions in this view		2013
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Electronics & Communication Engineering (EC) 2013 [Session 3]2013
2 questions in this view		2013
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Electronics & Communication Engineering (EC) 2013 [Session 4]2013
2 questions in this view		2013
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Electronics & Communication Engineering (EC) 20122012
2 questions in this view		2012
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Official documents
Official question paperOriginal authority-issued PDF Official Download
Electronics & Communication Engineering (EC) 20112011
1 questions in this view		2011
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ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Electronics & Communication Engineering (EC) 20102010
1 questions in this view		2010
ExamElite PDFs
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Official documents
Official question paperOriginal authority-issued PDF Official Download
Electronics & Communication Engineering (EC) 20092009
1 questions in this view		2009
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Electronics & Communication Engineering (EC) 20082008
3 questions in this view		2008
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Electronics & Communication Engineering (EC) 20072007
2 questions in this view		2007
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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 · Electronics & Communication Engineering · Engineering Mathematics · Linear Algebra
Electronics & Communication Engineering (EC) 2007
It is given that X₁, X₂, ... X_M are M non-zero, orthogonal vectors. The dimension of the vector space spanned by the 2M vectors X₁, X₂, ... X_M, -X₁, -X₂, ... -X_M is
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2
2007 · Electronics & Communication Engineering · Engineering Mathematics · Linear Algebra
Electronics & Communication Engineering (EC) 2007
The eigenvalue and eigenvector pairs (\lambda_i, v_i) for the system are
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3
2008 · Electronics & Communication Engineering · Engineering Mathematics · Linear Algebra
Electronics & Communication Engineering (EC) 2008
All the four entries of the \(2 \times 2\) matrix $\mathbf{P} = \begin{bmatrix} p_{11} & p_{12} \\ p_{21} & p_{22} \end{bmatrix}$ are nonzero, and one of its eigenvalues is zero. Which of the following statements is true?
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4
2008 · Electronics & Communication Engineering · Engineering Mathematics · Linear Algebra
Electronics & Communication Engineering (EC) 2008
The system of linear equations \[\begin{align*}\] 4x + 2y &= 7 \\ 2x + y &= 6 \end{align*} has
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5
2008 · Electronics & Communication Engineering · Engineering Mathematics · Linear Algebra
Electronics & Communication Engineering (EC) 2008
Consider the matrix \(P = \begin{bmatrix} 0 & 1 \\ -2 & -3 \end{bmatrix}\). The value of \(e^P\) is
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6
2009 · Electronics & Communication Engineering · Engineering Mathematics · Linear Algebra
Electronics & Communication Engineering (EC) 2009
The eigen values of the following matrix are \[\begin{bmatrix} -1 & 3 & 5 \\ -3 & -1 & 6 \\ 0 & 0 & 3 \end{bmatrix}\]
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7
2010 · Electronics & Communication Engineering · Engineering Mathematics · Linear Algebra
Electronics & Communication Engineering (EC) 2010
The eigenvalues of a skew-symmetric matrix are
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8
2011 · Electronics & Communication Engineering · Engineering Mathematics · Linear Algebra
Electronics & Communication Engineering (EC) 2011
The system of equations
$x + y + z = 6$
$x + 4y + 6z = 20$
$x + 4y + \lambda z = \mu$
has NO solution for values of $\lambda$ and $\mu$ given by
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9
2012 · Electronics & Communication Engineering · Engineering Mathematics · Linear Algebra
Electronics & Communication Engineering (EC) 2012
Given that \( A = \begin{bmatrix} -5 & -3 \\ 2 & 0 \end{bmatrix} \) and \( I = \begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix} \), the value of \( A^3 \) is
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10
2012 · Electronics & Communication Engineering · Engineering Mathematics · Linear Algebra
Electronics & Communication Engineering (EC) 2012

Raju has 14 currency notes in his pocket consisting of only Rs. 20 notes and Rs. 10 notes. The total money value of the notes is Rs. 230. The number of Rs. 10 notes that Raju has is

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11
2013 · Electronics & Communication Engineering · Engineering Mathematics · Linear Algebra
Electronics & Communication Engineering (EC) 2013 [Session 1]
The minimum eigenvalue of the following matrix is
\[ \begin{bmatrix} 3 & 5 & 2 \\ 5 & 12 & 7 \\ 2 & 7 & 5 \end{bmatrix} \]
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12
2013 · Electronics & Communication Engineering · Engineering Mathematics · Linear Algebra
Electronics & Communication Engineering (EC) 2013 [Session 1]
Let \( A \) be an \( m \times n \) matrix and \( B \) an \( n \times m \) matrix. It is given that determinant \( (I_m + AB) = \) determinant \( (I_n + BA) \), where \( I_k \) is the \( k \times k \) identity matrix. Using the above property, the determinant of the matrix given below is \[ \begin{bmatrix} 2 & 1 & 1 & 1 \\ 1 & 2 & 1 & 1 \\ 1 & 1 & 2 & 1 \\ 1 & 1 & 1 & 2 \end{bmatrix} \]
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13
2013 · Electronics & Communication Engineering · Engineering Mathematics · Linear Algebra
Electronics & Communication Engineering (EC) 2013 [Session 2]
The minimum eigenvalue of the following matrix is \[\begin{bmatrix} 3 & 5 & 2 \\ 5 & 12 & 7 \\ 2 & 7 & 5 \end{bmatrix}\]
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14
2013 · Electronics & Communication Engineering · Engineering Mathematics · Linear Algebra
Electronics & Communication Engineering (EC) 2013 [Session 2]
Let A be an m×n matrix and B be an n×m matrix. It is given that determinant (I_m + AB) = determinant (I_n + BA), where I_k is the k×k identity matrix. Using the above property, the determinant of the matrix given below is \[ \begin{bmatrix} 2 & 1 & 1 & 1 \\ 1 & 2 & 1 & 1 \\ 1 & 1 & 2 & 1 \\ 1 & 1 & 1 & 2 \end{bmatrix} \]
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15
2013 · Electronics & Communication Engineering · Engineering Mathematics · Linear Algebra
Electronics & Communication Engineering (EC) 2013 [Session 3]
Let A be an \(m \times n\) matrix and B an \(n \times m\) matrix. It is given that determinant \((I_m + AB) = \) determinant \((I_n + BA)\), where \(I_k\) is the \(k \times k\) identity matrix. Using the above property, the determinant of the matrix given below is \[\begin{bmatrix} 2 & 1 & 1 & 1 \\ 1 & 2 & 1 & 1 \\ 1 & 1 & 2 & 1 \\ 1 & 1 & 1 & 2 \end{bmatrix}\]
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16
2013 · Electronics & Communication Engineering · Engineering Mathematics · Linear Algebra
Electronics & Communication Engineering (EC) 2013 [Session 4]
Let \(A\) be an \(m \times n\) matrix and \(B\) an \(n \times m\) matrix. It is given that determinant \((I_m + AB) = \) determinant \((I_n + BA)\), where \(I_k\) is the \(k \times k\) identity matrix. Using the above property, the determinant of the matrix given below is \[\begin{bmatrix} 2 & 1 & 1 & 1 \\ 1 & 2 & 1 & 1 \\ 1 & 1 & 2 & 1 \\ 1 & 1 & 1 & 2 \end{bmatrix}\]
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17
2014 · Electronics & Communication Engineering · Engineering Mathematics · Linear Algebra
Electronics & Communication Engineering (EC) 2014 [Session 1]
For matrices of same dimension \(M\), \(N\) and scalar \(c\), which one of these properties DOES NOT ALWAYS hold?
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18
2014 · Electronics & Communication Engineering · Engineering Mathematics · Linear Algebra
Electronics & Communication Engineering (EC) 2014 [Session 2]
The system of linear equations \[\begin{bmatrix} 2 & 1 & 3 \\ 3 & 0 & 1 \\ 1 & 2 & 5 \end{bmatrix} \begin{bmatrix} a \\ b \\ c \end{bmatrix} = \begin{bmatrix} 5 \\ -4 \\ 14 \end{bmatrix} has\]
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19
2014 · Electronics & Communication Engineering · Engineering Mathematics · Linear Algebra
Electronics & Communication Engineering (EC) 2014 [Session 3]
Which one of the following statements is NOT true for a square matrix \( A \)?
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20
2015 · Electronics & Communication Engineering · Engineering Mathematics · Linear Algebra
Electronics & Communication Engineering (EC) 2015 [Session 1]
Consider a system of linear equations:
\( x - 2y + 3z = -1, \\ x - 3y + 4z = 1, \text{ and } \\ -2x + 4y - 6z = k. \)
The value of \( k \) for which the system has infinitely many solutions is ______.
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Showing 20 of 48 questions