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Previous year question hub

Linear Algebra - Engineering Mathematics - Aerospace Engineering Previous Year Questions

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

20Papers
20Years
56Questions
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 45 80.4%
Medium 11 19.6%

Question type distribution

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

MCQ 39 69.6%
Numerical Answer Type (NAT) 10 17.9%
MSQ 5 8.9%
Fill in the blanks 2 3.6%

Subject weightage

Top subjects by unique question coverage.

Aerospace Engineering
56 Qs

Most asked topics

Top topics across the included previous year papers.

Engineering Mathematics
56 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Linear Algebra
56 Qs

Paper coverage

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

Aerospace Engineering (AE) 2026
3 Qs
Aerospace Engineering (AE) 2025
3 Qs
Aerospace Engineering (AE) 2024
2 Qs
Aerospace Engineering (AE) 2023
3 Qs
Aerospace Engineering (AE) 2022
3 Qs
Aerospace Engineering (AE) 2021
3 Qs
Aerospace Engineering (AE) 2020
2 Qs
Aerospace Engineering (AE) 2019
2 Qs
Aerospace Engineering (AE) 2018
2 Qs
Aerospace Engineering (AE) 2017
3 Qs
Aerospace Engineering (AE) 2016
3 Qs
Aerospace Engineering (AE) 2015
2 Qs
Aerospace Engineering (AE) 2014
2 Qs
Aerospace Engineering (AE) 2013
3 Qs
Aerospace Engineering (AE) 2012
2 Qs
Aerospace Engineering (AE) 2011
3 Qs
Aerospace Engineering (AE) 2010
1 Qs
Aerospace Engineering (AE) 2009
6 Qs
Aerospace Engineering (AE) 2008
4 Qs
Aerospace Engineering (AE) 2007
4 Qs

Included previous year papers

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

Paper nameYearPDFAttempt
Aerospace Engineering (AE) 20262026
3 questions in this view
2026
Aerospace Engineering (AE) 20252025
3 questions in this view
2025
Aerospace Engineering (AE) 20242024
2 questions in this view
2024
Aerospace Engineering (AE) 20232023
3 questions in this view
2023
Aerospace Engineering (AE) 20222022
3 questions in this view
2022
Aerospace Engineering (AE) 20212021
3 questions in this view
2021
Aerospace Engineering (AE) 20202020
2 questions in this view
2020
Aerospace Engineering (AE) 20192019
2 questions in this view
2019
Aerospace Engineering (AE) 20182018
2 questions in this view
2018
Aerospace Engineering (AE) 20172017
3 questions in this view
2017
Aerospace Engineering (AE) 20162016
3 questions in this view
2016
Aerospace Engineering (AE) 20152015
2 questions in this view
2015
Aerospace Engineering (AE) 20142014
2 questions in this view
2014
Aerospace Engineering (AE) 20132013
3 questions in this view
2013
Aerospace Engineering (AE) 20122012
2 questions in this view
2012
Aerospace Engineering (AE) 20112011
3 questions in this view
2011
Aerospace Engineering (AE) 20102010
1 questions in this view
2010
Aerospace Engineering (AE) 20092009
6 questions in this view
2009
Aerospace Engineering (AE) 20082008
4 questions in this view
2008
Aerospace Engineering (AE) 20072007
4 questions in this view
2007

All Linear Algebra previous year questions

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

1
2007 · Aerospace Engineering · Engineering Mathematics · Linear Algebra
Aerospace Engineering (AE) 2007

For an elastic anisotropic solid, the number of independent elastic constants in its constitutive equations is

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2
2007 · Aerospace Engineering · Engineering Mathematics · Linear Algebra
Aerospace Engineering (AE) 2007

Two pipes of constant sections but different diameters carry water at the same volume flow rate. The Reynolds number, based on the pipe diameter, is

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3
2007 · Aerospace Engineering · Engineering Mathematics · Linear Algebra
Aerospace Engineering (AE) 2007
The eigenvalues of the matrix, A = [[2, 1], [0, 3]] are
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4
2007 · Aerospace Engineering · Engineering Mathematics · Linear Algebra
Aerospace Engineering (AE) 2007
The eigenvalues of the matrix A^{-1}, where A = [[2, 1], [0, 3]], are
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5
2008 · Aerospace Engineering · Engineering Mathematics · Linear Algebra
Aerospace Engineering (AE) 2008
The product of the eigenvalues of the matrix
\[ \begin{bmatrix} 1 & 0 & 1 \\ 0 & 2 & 1 \\ 1 & 1 & -3 \end{bmatrix} \]
is
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6
2008 · Aerospace Engineering · Engineering Mathematics · Linear Algebra
Aerospace Engineering (AE) 2008
In a 3-D orthotropic material, the number of elastic constants in linear stress-strain relationship is
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7
2008 · Aerospace Engineering · Engineering Mathematics · Linear Algebra
Aerospace Engineering (AE) 2008
Which of the following is true for all choices of vectors \( \vec{p}, \vec{q}, \vec{r} \)?
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8
2008 · Aerospace Engineering · Engineering Mathematics · Linear Algebra
Aerospace Engineering (AE) 2008
The following set of equations \(\begin{bmatrix} 1 & 1 & 2 \\ 1 & 0 & 1 \\ 0 & 1 & 1 \end{bmatrix} \begin{bmatrix} x_1 \\ x_2 \\ x_3 \end{bmatrix} = \begin{bmatrix} 1 \\ -1 \\ 0 \end{bmatrix}\) has
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9
2009 · Aerospace Engineering · Engineering Mathematics · Linear Algebra
Aerospace Engineering (AE) 2009
A non-trivial solution to the \((n \times n)\) system of equations \([A]\{x\} = \{0\}\), where \(\{0\}\) is the null vector
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10
2009 · Aerospace Engineering · Engineering Mathematics · Linear Algebra
Aerospace Engineering (AE) 2009

For a plane strain problem, the stresses satisfy the condition

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11
2009 · Aerospace Engineering · Engineering Mathematics · Linear Algebra
Aerospace Engineering (AE) 2009
The product of the eigenvalues of the matrix \(\begin{bmatrix} 2 & 1 & 1 \\ 1 & 3 & 1 \\ 1 & 1 & 4 \end{bmatrix}\) is
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12
2009 · Aerospace Engineering · Engineering Mathematics · Linear Algebra
Aerospace Engineering (AE) 2009
The linear system of equations \(A\mathbf{x} = \mathbf{b}\) where \(A = \begin{bmatrix} 1 & 2 \\ 2 & 4 \end{bmatrix}\) and \(\mathbf{b} = \begin{bmatrix} 3 \\ 3 \end{bmatrix}\) has
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13
2009 · Aerospace Engineering · Engineering Mathematics · Linear Algebra
Aerospace Engineering (AE) 2009
The surface integral (taken over the unit sphere) of the component of \(\vec{A}\) normal to the surface is
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14
2009 · Aerospace Engineering · Engineering Mathematics · Linear Algebra
Aerospace Engineering (AE) 2009
The magnitude of the component of \(\vec{A}\) normal to the spherical surface at the point \(\left(\frac{1}{\sqrt{3}}, \frac{1}{\sqrt{3}}, \frac{1}{\sqrt{3}}\right)\) is
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15
2010 · Aerospace Engineering · Engineering Mathematics · Linear Algebra
Aerospace Engineering (AE) 2010
Two position vectors are indicated by \(\vec{V}_1 = \begin{pmatrix} x_1 \\ y_1 \end{pmatrix}\) and \(\vec{V}_2 = \begin{pmatrix} x_2 \\ y_2 \end{pmatrix}\). If \(a^2 + b^2 = 1\), then the operation \(\vec{V}_2 = \begin{bmatrix} a & -b \\ b & a \end{bmatrix} \vec{V}_1\) amounts to obtaining the position vector \(\vec{V}_2\) from \(\vec{V}_1\) by
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16
2011 · Aerospace Engineering · Engineering Mathematics · Linear Algebra
Aerospace Engineering (AE) 2011
Consider \(x, y, z\) to be right-handed Cartesian coordinates. A vector function is defined in this coordinate system as \(\mathbf{v} = 3x\mathbf{i} + 3xy\mathbf{j} - yz^2\mathbf{k}\), where \(\mathbf{i}, \mathbf{j}\) and \(\mathbf{k}\) are the unit vectors along \(x, y\) and \(z\) axes, respectively. The curl of \(\mathbf{v}\) is given by
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17
2011 · Aerospace Engineering · Engineering Mathematics · Linear Algebra
Aerospace Engineering (AE) 2011
In three-dimensional linear elastic solids, the number of non-trivial stress-strain relations, strain-displacement equations and equations of equilibrium are, respectively,
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18
2011 · Aerospace Engineering · Engineering Mathematics · Linear Algebra
Aerospace Engineering (AE) 2011
Consider the matrix \( \begin{bmatrix} 2 & a \\ b & 2 \end{bmatrix} \) where \( a \) and \( b \) are real numbers. The two eigenvalues of this matrix \( \lambda_1 \) and \( \lambda_2 \) are real and distinct (\( \lambda_1 \neq \lambda_2 \)) when
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19
2012 · Aerospace Engineering · Engineering Mathematics · Linear Algebra
Aerospace Engineering (AE) 2012
The constraint \(A^2 = A\) on any square matrix \(A\) is satisfied for
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20
2012 · Aerospace Engineering · Engineering Mathematics · Linear Algebra
Aerospace Engineering (AE) 2012
One eigenvalue of the matrix \(A = \begin{bmatrix} 2 & 7 & 10 \\ 5 & 2 & 25 \\ 1 & 6 & 5 \end{bmatrix}\) is \(-9.33\). One of the other eigenvalues is
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Showing 20 of 56 questions