My Cart
Your Cart 0

    Your cart is empty.

  • Total (Amount) ₹0.00
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.

22Papers
15Years
38Questions
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 31 81.6%
Medium 7 18.4%

Question type distribution

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

MCQ 24 63.2%
Numerical Answer Type (NAT) 9 23.7%
MSQ 4 10.5%
Fill in the blanks 1 2.6%

Subject weightage

Top subjects by unique question coverage.

Electronics & Communication Engineering
38 Qs

Most asked topics

Top topics across the included previous year papers.

Engineering Mathematics
38 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Linear Algebra
38 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
2 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

Included previous year papers

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

PaperYear / sessionQuestions in this viewOpen
Electronics and Communication Engineering (EC) 202620261View paper
Electronics & Communication Engineering (EC) 202520252View paper
Electronics & Communication Engineering (EC) 202420242View paper
Electronics & Communication Engineering (EC) 202320233View paper
Electronics & Communication Engineering (EC) 202220222View paper
Electronics & Communication Engineering (EC) 202120213View paper
Electronics & Communication Engineering (EC) 202020202View paper
Electronics & Communication Engineering (EC) 201920191View paper
Electronics & Communication Engineering (EC) 201820182View paper
Electronics & Communication Engineering (EC) 201720172View paper
Electronics & Communication Engineering (EC) 2016 [Session 2]20161View paper
Electronics & Communication Engineering (EC) 2016 [Session 3]20162View paper
Electronics & Communication Engineering (EC) 2015 [Session 1]20151View paper
Electronics & Communication Engineering (EC) 2015 [Session 3]20151View paper
Electronics & Communication Engineering (EC) 2014 [Session 1]20141View paper
Electronics & Communication Engineering (EC) 2014 [Session 2]20141View paper
Electronics & Communication Engineering (EC) 2014 [Session 3]20141View paper
Electronics & Communication Engineering (EC) 2013 [Session 1]20132View paper
Electronics & Communication Engineering (EC) 2013 [Session 2]20132View paper
Electronics & Communication Engineering (EC) 2013 [Session 3]20132View paper
Electronics & Communication Engineering (EC) 2013 [Session 4]20132View paper
Electronics & Communication Engineering (EC) 201220122View paper

All Linear Algebra previous year questions

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

1
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
Open complete paper
2
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

Open complete paper
3
2013 · Electronics & Communication Engineering · Engineering Mathematics · Linear Algebra
Electronics & Communication Engineering (EC) 2013 [Session 1]
The minimum eigenvalue of the following matrix is
\[ \begin{bmatrix} 3 & 5 & 2 \\ 5 & 12 & 7 \\ 2 & 7 & 5 \end{bmatrix} \]
Open complete paper
4
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 \[ \begin{bmatrix} 2 & 1 & 1 & 1 \\ 1 & 2 & 1 & 1 \\ 1 & 1 & 2 & 1 \\ 1 & 1 & 1 & 2 \end{bmatrix} \]
Open complete paper
5
2013 · Electronics & Communication Engineering · Engineering Mathematics · Linear Algebra
Electronics & Communication Engineering (EC) 2013 [Session 2]
The minimum eigenvalue of the following matrix is \[\begin{bmatrix} 3 & 5 & 2 \\ 5 & 12 & 7 \\ 2 & 7 & 5 \end{bmatrix}\]
Open complete paper
6
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 \[ \begin{bmatrix} 2 & 1 & 1 & 1 \\ 1 & 2 & 1 & 1 \\ 1 & 1 & 2 & 1 \\ 1 & 1 & 1 & 2 \end{bmatrix} \]
Open complete paper
7
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 \[\begin{bmatrix} 2 & 1 & 1 & 1 \\ 1 & 2 & 1 & 1 \\ 1 & 1 & 2 & 1 \\ 1 & 1 & 1 & 2 \end{bmatrix}\]
Open complete paper
8
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 \[\begin{bmatrix} 2 & 1 & 1 & 1 \\ 1 & 2 & 1 & 1 \\ 1 & 1 & 2 & 1 \\ 1 & 1 & 1 & 2 \end{bmatrix}\]
Open complete paper
9
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?
Open complete paper
10
2014 · Electronics & Communication Engineering · Engineering Mathematics · Linear Algebra
Electronics & Communication Engineering (EC) 2014 [Session 2]
The system of linear equations \[\begin{bmatrix} 2 & 1 & 3 \\ 3 & 0 & 1 \\ 1 & 2 & 5 \end{bmatrix} \begin{bmatrix} a \\ b \\ c \end{bmatrix} = \begin{bmatrix} 5 \\ -4 \\ 14 \end{bmatrix} has\]
Open complete paper
11
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 \( A \)?
Open complete paper
12
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 ______.
Open complete paper
13
2015 · Electronics & Communication Engineering · Engineering Mathematics · Linear Algebra
Electronics & Communication Engineering (EC) 2015 [Session 3]
For \( A = \begin{bmatrix} 1 & \tan x \\ -\tan x & 1 \end{bmatrix} \), the determinant of \( A^T A^{-1} \) is
Open complete paper
14
2016 · Electronics & Communication Engineering · Engineering Mathematics · Linear Algebra
Electronics & Communication Engineering (EC) 2016 [Session 2]
The matrix $A=\begin{bmatrix} a & 0 & 3 & 7 \\ 2 & 5 & 1 & 3 \\ 0 & 0 & 2 & 4 \\ 0 & 0 & 0 & b \end{bmatrix}$ has $\det(A) = 100$ and $\text{trace}(A) = 14$.
The value of $|a-b|$ is ________
Open complete paper
15
2016 · Electronics & Communication Engineering · Engineering Mathematics · Linear Algebra
Electronics & Communication Engineering (EC) 2016 [Session 3]
If the vectors \(\mathbf{e}_1=(1,0,2), \mathbf{e}_2=(0,1,0)\) and \(\mathbf{e}_3=(-2,0,1)\) form an orthogonal basis of the three-dimensional real space \(\mathbb{R}^3\), then the vector \(\mathbf{u}=(4,3,-3) \in \mathbb{R}^3\) can be expressed as
Open complete paper
16
2016 · Electronics & Communication Engineering · Engineering Mathematics · Linear Algebra
Electronics & Communication Engineering (EC) 2016 [Session 3]
Consider a 2 × 2 square matrix \[ A = \begin{bmatrix} \sigma & x \\ \omega & \sigma \end{bmatrix}, \] where x is unknown. If the eigenvalues of the matrix A are (σ + jω) and (σ − jω), then x is equal to
Open complete paper
17
2017 · Electronics & Communication Engineering · Engineering Mathematics · Linear Algebra
Electronics & Communication Engineering (EC) 2017
Q.1 – Q.5 carry one mark each.

The rank of the matrix is _______.

Open complete paper
18
2017 · Electronics & Communication Engineering · Engineering Mathematics · Linear Algebra
Electronics & Communication Engineering (EC) 2017

1200 men and 500 women can build a bridge in 2 weeks. 900 men and 250 women will take 3 weeks to build the same bridge. How many men will be needed to build the bridge in one week?

Open complete paper
19
2018 · Electronics & Communication Engineering · Engineering Mathematics · Linear Algebra
Electronics & Communication Engineering (EC) 2018
Let \( \mathbf{M} \) be a real \( 4 \times 4 \) matrix. Consider the following statements: S1: \( \mathbf{M} \) has 4 linearly independent eigenvectors. S2: \( \mathbf{M} \) has 4 distinct eigenvalues. S3: \( \mathbf{M} \) is non-singular (invertible). Which one among the following is TRUE?
Open complete paper
20
2018 · Electronics & Communication Engineering · Engineering Mathematics · Linear Algebra
Electronics & Communication Engineering (EC) 2018
Consider matrix \(\mathbf{A} = \begin{bmatrix} k & 2k \\ k^2 - k & k^2 \end{bmatrix}\) and vector \(\mathbf{x} = \begin{bmatrix} x_1 \\ x_2 \end{bmatrix}\). The number of distinct real values of \(k\) for which the equation \(\mathbf{Ax} = \mathbf{0}\) has infinitely many solutions is ______.
Open complete paper

Showing 20 of 36 questions