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Previous year question hub

Linear Algebra - Engineering Mathematics - Electrical Engineering Previous Year Questions

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

25Papers
18Years
54Questions
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 36 66.7%
Medium 17 31.5%
Hard 1 1.9%

Question type distribution

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

MCQ 46 85.2%
Numerical Answer Type (NAT) 7 13%
MSQ 1 1.9%

Subject weightage

Top subjects by unique question coverage.

Electrical Engineering
54 Qs

Most asked topics

Top topics across the included previous year papers.

Engineering Mathematics
54 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Linear Algebra
54 Qs

Paper coverage

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

Electrical Engineering (EE) 2025
3 Qs
Electrical Engineering (EE) 2024
2 Qs
Electrical Engineering (EE) 2023
2 Qs
Electrical Engineering (EE) 2022
3 Qs
Electrical Engineering (EE) 2021
2 Qs
Electrical Engineering (EE) 2020
1 Qs
Electrical Engineering (EE) 2019
3 Qs
Electrical Engineering (EE) 2018
2 Qs
Electrical Engineering (EE) 2017 [Session 1]
1 Qs
Electrical Engineering (EE) 2017 [Session 2]
1 Qs
Electrical Engineering (EE) 2016 [Session 1]
3 Qs
Electrical Engineering (EE) 2016 [Session 2]
2 Qs
Electrical Engineering (EE) 2014 [Session 1]
2 Qs
Electrical Engineering (EE) 2014 [Session 2]
1 Qs
Electrical Engineering (EE) 2014 [Session 3]
1 Qs
Electrical Engineering (EE) 2013 [Session 2]
3 Qs
Electrical Engineering (EE) 2013 [Session 1]
2 Qs
Electrical Engineering (EE) 2013 [Session 3]
2 Qs
Electrical Engineering (EE) 2013 [Session 4]
2 Qs
Electrical Engineering (EE) 2012
2 Qs
Electrical Engineering (EE) 2011
2 Qs
Electrical Engineering (EE) 2010
2 Qs
Electrical Engineering (EE) 2009
1 Qs
Electrical Engineering (EE) 2008
4 Qs
Electrical Engineering (EE) 2007
5 Qs

Included previous year papers

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

PaperYear / sessionQuestions in this viewOpen
Electrical Engineering (EE) 202520253View paper
Electrical Engineering (EE) 202420242View paper
Electrical Engineering (EE) 202320232View paper
Electrical Engineering (EE) 202220223View paper
Electrical Engineering (EE) 202120212View paper
Electrical Engineering (EE) 202020201View paper
Electrical Engineering (EE) 201920193View paper
Electrical Engineering (EE) 201820182View paper
Electrical Engineering (EE) 2017 [Session 1]20171View paper
Electrical Engineering (EE) 2017 [Session 2]20171View paper
Electrical Engineering (EE) 2016 [Session 1]20163View paper
Electrical Engineering (EE) 2016 [Session 2]20162View paper
Electrical Engineering (EE) 2014 [Session 1]20142View paper
Electrical Engineering (EE) 2014 [Session 2]20141View paper
Electrical Engineering (EE) 2014 [Session 3]20141View paper
Electrical Engineering (EE) 2013 [Session 1]20132View paper
Electrical Engineering (EE) 2013 [Session 2]20133View paper
Electrical Engineering (EE) 2013 [Session 3]20132View paper
Electrical Engineering (EE) 2013 [Session 4]20132View paper
Electrical Engineering (EE) 201220122View paper
Electrical Engineering (EE) 201120112View paper
Electrical Engineering (EE) 201020102View paper
Electrical Engineering (EE) 200920091View paper
Electrical Engineering (EE) 200820084View paper
Electrical Engineering (EE) 200720075View paper

All Linear Algebra previous year questions

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

1
2007 · Electrical Engineering · Engineering Mathematics · Linear Algebra
Electrical Engineering (EE) 2007
\(\mathbf{x} = [x_1 \ x_2 \ \dots \ x_n]^T\) is an \(n\)-tuple nonzero vector. The \(n \times n\) matrix \(V = \mathbf{x}\mathbf{x}^T\) is
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2
2007 · Electrical Engineering · Engineering Mathematics · Linear Algebra
Electrical Engineering (EE) 2007
Let x and y be two vectors in a 3 dimensional space and denote their dot product. Then the determinant det[ ; ]

Question diagram

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3
2007 · Electrical Engineering · Engineering Mathematics · Linear Algebra
Electrical Engineering (EE) 2007
The linear operation L(x) is defined by the cross product L(x) = b × x, where b=[0 1 0]T and x=[x1 x2 x3]T are three dimensional vectors. The 3×3 matrix M of this operation satisfies L(x) = M [x1; x2; x3] Then the eigenvalues of M are

Question diagram

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4
2007 · Electrical Engineering · Engineering Mathematics · Linear Algebra
Electrical Engineering (EE) 2007
\(A\) satisfies the relation
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5
2007 · Electrical Engineering · Engineering Mathematics · Linear Algebra
Electrical Engineering (EE) 2007
\(A^6\) equals
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6
2008 · Electrical Engineering · Engineering Mathematics · Linear Algebra
Electrical Engineering (EE) 2008
The characteristic equation of a $(3 \times 3)$ matrix $\mathbf{P}$ is defined as $\alpha(\lambda) = |\lambda \mathbf{I} - \mathbf{P}| = \lambda^3 + 2\lambda^2 + 2\lambda + 1 = 0$. If $\mathbf{I}$ denotes identity matrix, then the inverse of matrix $\mathbf{P}$ will be
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7
2008 · Electrical Engineering · Engineering Mathematics · Linear Algebra
Electrical Engineering (EE) 2008
If the rank of a $(5 \times 6)$ matrix $\mathbf{Q}$ is 4, then which one of the following statements is correct?
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8
2008 · Electrical Engineering · Engineering Mathematics · Linear Algebra
Electrical Engineering (EE) 2008
\( A \) is a \( m \times n \) full rank matrix with \( m > n \) and \( I \) is an identity matrix. Let matrix \( A^+ = (A^T A)^{-1} A^T \). Then, which one of the following statements is FALSE?
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9
2008 · Electrical Engineering · Engineering Mathematics · Linear Algebra
Electrical Engineering (EE) 2008
Let \( \mathbf{P} \) be a \( 2 \times 2 \) real orthogonal matrix and \( \mathbf{\bar{x}} \) is a real vector \( [x_1, x_2]^T \) with length \( \|\mathbf{\bar{x}}\| = (x_1^2 + x_2^2)^{1/2} \). Then, which one of the following statements is correct?
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10
2009 · Electrical Engineering · Engineering Mathematics · Linear Algebra
Electrical Engineering (EE) 2009
The trace and determinant of a \(2 \times 2\) matrix are known to be \(-2\) and \(-35\) respectively. Its eigenvalues are
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11
2010 · Electrical Engineering · Engineering Mathematics · Linear Algebra
Electrical Engineering (EE) 2010
An eigenvector of P = \begin{pmatrix}1 & 1 & 0\\0 & 2 & 2\\0 & 0 & 3\end{pmatrix} is
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12
2010 · Electrical Engineering · Engineering Mathematics · Linear Algebra
Electrical Engineering (EE) 2010
For the set of equations
x_1 + 2x_3 + x_4 = 2
3x_1 + 6x_3 + 3x_4 = 6
the following statement is true:
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13
2011 · Electrical Engineering · Engineering Mathematics · Linear Algebra
Electrical Engineering (EE) 2011
The matrix \([A] = \begin{bmatrix}2 & 1\\4 & -1\end{bmatrix}\) is decomposed into a product of a lower triangular matrix \([L]\) and an upper triangular matrix \([U]\). The properly decomposed \([L]\) and \([U]\) matrices respectively are

Question diagram

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14
2011 · Electrical Engineering · Engineering Mathematics · Linear Algebra
Electrical Engineering (EE) 2011
The two vectors \([1, 1, 1]\) and \([1, a, a^2]\), where \(a = \left(-\frac{1}{2} + j\frac{\sqrt{3}}{2}\right)\), are
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15
2012 · Electrical Engineering · Engineering Mathematics · Linear Algebra
Electrical Engineering (EE) 2012
Given that A = [-5 -3; 2 0] and I = [1 0; 0 1], the value of A^3 is
(A) 15A + 12I
(B) 19A + 30I
(C) 17A + 15I
(D) 17A + 21I
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16
2012 · Electrical Engineering · Engineering Mathematics · Linear Algebra
Electrical Engineering (EE) 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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17
2013 · Electrical Engineering · Engineering Mathematics · Linear Algebra
Electrical Engineering (EE) 2013 [Session 1]
The equation \( \begin{bmatrix} 2 & -2 \\ 1 & -1 \end{bmatrix} \begin{bmatrix} x_1 \\ x_2 \end{bmatrix} = \begin{bmatrix} 0 \\ 0 \end{bmatrix} \) has
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18
2013 · Electrical Engineering · Engineering Mathematics · Linear Algebra
Electrical Engineering (EE) 2013 [Session 1]
A matrix has eigenvalues -1 and -2. The corresponding eigenvectors are $\begin{bmatrix} 1 \\ -1 \end{bmatrix}$ and $\begin{bmatrix} 1 \\ -2 \end{bmatrix}$ respectively. The matrix is
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19
2013 · Electrical Engineering · Engineering Mathematics · Linear Algebra
Electrical Engineering (EE) 2013 [Session 2]
A matrix has eigenvalues -1 and -2. The corresponding eigenvectors are [1, -1]ᵀ and [1, -2]ᵀ respectively. The matrix is
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20
2013 · Electrical Engineering · Engineering Mathematics · Linear Algebra
Electrical Engineering (EE) 2013 [Session 2]
In the summer of 2012, in New Delhi, the mean temperature of Monday to Wednesday was 41°C and of Tuesday to Thursday was 43°C. If the temperature on Thursday was 15% higher than that of Monday, then the temperature in °C on Thursday was
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Showing 20 of 51 questions