The Gateway to Computer Science Excellence
For all GATE CSE Questions
Toggle navigation
Facebook Login
or
Email or Username
Password
Remember
Login
Register

I forgot my password
All Activity
Questions
Unanswered
Tags
Categories
Users
Ask a Question
Prev
Blogs
New Blog
Exams
First time here? Checkout the
FAQ
!
x
×
Close
Use the google search bar on side panel. It searches through all previous GATE/other questions. For hardcopy of previous year questions please see
here
Recent questions tagged linearalgebra
Webpage for Linear Algebra
0
votes
1
answer
1
Linear Algebra (Self Doubt)
Let $A$ be a $n \times n$ square matrix whose all columns are independent. Is $Ax = b$ always solvable? Actually, I know that $Ax= b$ is solvable if $b$ is in the column space of $A$. However, I am not sure if it is solvable for all values of $b$.
asked
Jun 6
in
Linear Algebra
by
Debargha Bhattacharj
Junior
(
515
points)

75
views
linearalgebra
0
votes
2
answers
2
GATE 2017:EC
Consider the $5\times 5$ matrix: $\begin{bmatrix} 1 & 2 &3 & 4 &5 \\ 5 &1 &2 & 3 &4 \\ 4& 5 &1 &2 &3 \\ 3& 4 & 5 & 1 &2 \\ 2&3 & 4 & 5 & 1 \end{bmatrix}$ It is given $A$ has only one real eigen value. Then the real eigen value of $A$ is ________
asked
Jun 2
in
Linear Algebra
by
srestha
Veteran
(
113k
points)

106
views
discretemathematics
linearalgebra
matrix
matrices
0
votes
0
answers
3
GATE MOCK 2018
An orthogonal matrix A has eigen values 1, 2 and 4, then trace of the matrix $A^T$ is ___________
asked
May 28
in
Linear Algebra
by
Hirak
Active
(
3.4k
points)

58
views
eigenvalue
linearalgebra
0
votes
1
answer
4
SelfDoubt: Diagonalizable Matrix
$1)$ How to find a matrix is diagonalizable or not? Suppose a matrix is $A=\begin{bmatrix} \cos \Theta &\sin \Theta \\ \sin\Theta & \cos\Theta \end{bmatrix}$ Is it diagonalizable? $2)$ What is it’s eigen spaces?
asked
May 27
in
Linear Algebra
by
srestha
Veteran
(
113k
points)

120
views
engineeringmathematics
linearalgebra
matrices
0
votes
0
answers
5
Self DoubtLA
In a nonhomogeneous equation Ax = b, x has a unique solution when $A^{1}$ exists i.e x = $A^{1}$b but when det(A) = 0 then we have infinite solution or many solution. please give a mathematical explanation of how the 2nd statement occurs?
asked
May 26
in
Mathematical Logic
by
MRINMOY_HALDER
Active
(
1.7k
points)

34
views
linearalgebra
systemofequations
+4
votes
0
answers
6
IISc CSA  Research Interview Question
Prove that the rank of the Adjacency Matrix which is associated with a $k$ regular graph is $k.$
asked
May 22
in
Graph Theory
by
ankitgupta.1729
Boss
(
14k
points)

80
views
graphtheory
linearalgebra
+1
vote
1
answer
7
ISI2018PCBA1
Consider a $n \times n$ matrix $A=I_n\alpha\alpha^T$, where $I_n$ is the $n\times n$ identity matrix and $\alpha$ is an $n\times 1$ column vector such that $\alpha^T\alpha=1$.Show that $A^2=A$.
asked
May 12
in
Linear Algebra
by
akash.dinkar12
Boss
(
41.3k
points)

59
views
isi2018pcba
engineeringmathematics
linearalgebra
matrices
descriptive
0
votes
1
answer
8
ISI2018MMA14
Let $A$ be a $3× 3$ real matrix with all diagonal entries equal to $0$. If $1 + i$ is an eigenvalue of $A$, the determinant of $A$ equals $4$ $2$ $2$ $4$
asked
May 11
in
Linear Algebra
by
akash.dinkar12
Boss
(
41.3k
points)

59
views
isi2018
engineeringmathematics
linearalgebra
eigenvalue
determinant
0
votes
1
answer
9
ISI2018MMA13
If $A =\begin{bmatrix} 2 &i \\ i & 0 \end{bmatrix}$ , the trace of $A^{10}$ is $2$ $2(1+i)$ $0$ $2^{10}$
asked
May 11
in
Linear Algebra
by
akash.dinkar12
Boss
(
41.3k
points)

51
views
isi2018
engineeringmathematics
linearalgebra
determinant
0
votes
2
answers
10
ISI2018MMA12
The rank of the matrix $\begin{bmatrix} 1 &2 &3 &4 \\ 5& 6 & 7 & 8 \\ 6 & 8 & 10 & 12 \\ 151 & 262 & 373 & 484 \end{bmatrix}$ $1$ $2$ $3$ $4$
asked
May 11
in
Linear Algebra
by
akash.dinkar12
Boss
(
41.3k
points)

74
views
isi2018
engineeringmathematics
linearalgebra
rankofmatrix
0
votes
1
answer
11
ISI2018MMA11
The value of $\lambda$ for which the system of linear equations $2xyz=12$, $x2y+z=4$ and $x+y+\lambda z=4$ has no solution is $2$ $2$ $3$ $3$
asked
May 11
in
Numerical Ability
by
akash.dinkar12
Boss
(
41.3k
points)

60
views
isi2018
engineeringmathematics
linearalgebra
systemofequations
+1
vote
1
answer
12
ISI2019MMA23
Let $A$ be $2 \times 2$ matrix with real entries. Now consider the function $f_A(x)$ = $Ax$ . If the image of every circle under $f_A$ is a circle of the same radius, then A must be an orthogonal matrix A must be a symmetric matrix A must be a skewsymmetric matrix None of the above must necessarily hold
asked
May 7
in
Linear Algebra
by
Sayan Bose
Loyal
(
7k
points)

120
views
isi2019
engineeringmathematics
linearalgebra
0
votes
2
answers
13
ISI2019MMA15
The rank of the matrix $\begin{bmatrix} 0 &1 &t \\ 2& t & 1\\ 2& 2 & 0 \end{bmatrix}$ equals $3$ for any real number $t$ $2$ for any real number $t$ $2$ or $3$ depending on the value of $t$ $1,2$ or $3$ depending on the value of $t$
asked
May 7
in
Linear Algebra
by
Sayan Bose
Loyal
(
7k
points)

152
views
isi2019
linearalgebra
engineeringmathematics
+1
vote
1
answer
14
ISI2019MMA14
If the system of equations $\begin{array} ax +y+z= 0 \\ x+by +z = 0 \\ x+y + cz = 0 \end{array}$ with $a,b,c \neq 1$ has a non trivial solutions, the value of $\frac{1}{1a} + \frac{1}{1b} + \frac{1}{1c}$ is $1$ $1$ $3$ $3$
asked
May 7
in
Linear Algebra
by
Sayan Bose
Loyal
(
7k
points)

123
views
isi2019
linearalgebra
systemofequations
0
votes
2
answers
15
ISI2019MMA13
Let $V$ be the vector space of all $4 \times 4$ matrices such that the sum of the elements in any row or any column is the same. Then the dimension of $V$ is $8$ $10$ $12$ $14$
asked
May 6
in
Linear Algebra
by
Sayan Bose
Loyal
(
7k
points)

180
views
isi2019
engineeringmathematics
linearalgebra
+1
vote
0
answers
16
CSIR UGC NET
asked
Apr 28
in
Linear Algebra
by
Hirak
Active
(
3.4k
points)

41
views
linearalgebra
eigenvalue
matrices
+3
votes
1
answer
17
Vani Institute Question Bank Pg231 chapter 6
The Eigen values of $A=\begin{bmatrix} a& 1& 0\\1 &a &1 \\0 &1 &a \end{bmatrix}$ are______ $a,a,a$ $0,a,2a$ $a,2a,2a$ $a,a+\sqrt{2},a\sqrt{2}$
asked
Apr 25
in
Linear Algebra
by
Hirak
Active
(
3.4k
points)

88
views
engineeringmathematics
linearalgebra
eigenvalue
0
votes
0
answers
18
ISIMMA201544
Let $P_{1},P_{2},$ and $P_{3}$ denote, respectively, the planes defined by $a_{1}x + b_{1}y + c_{1}z = \alpha _{1}$ $a_{2}x + b_{2}y + c_{2}z = \alpha _{2}$ $a_{3}x + b_{3}y + c_{3}z = \alpha _{3}$ It is given ... then the planes (A) do not have any common point of intersection (B) intersect at a unique point (C) intersect along a straight line (D) intersect along a plane
asked
Feb 22
in
Linear Algebra
by
ankitgupta.1729
Boss
(
14k
points)

84
views
engineeringmathematics
linearalgebra
userisi2015
usermod
+3
votes
4
answers
19
GATE20199
Let $X$ be a square matrix. Consider the following two statements on $X$. $X$ is invertible Determinant of $X$ is nonzero Which one of the following is TRUE? I implies II; II does not imply I II implies I; I does not imply II I does not imply II; II does not imply I I and II are equivalent statements
asked
Feb 7
in
Linear Algebra
by
Arjun
Veteran
(
416k
points)

1.8k
views
gate2019
engineeringmathematics
linearalgebra
determinant
+3
votes
3
answers
20
GATE201944
Consider the following matrix: $R = \begin{bmatrix} 1 & 2 & 4 & 8 \\ 1 & 3 & 9 & 27 \\ 1 & 4 & 16 & 64 \\ 1 & 5 & 25 & 125 \end{bmatrix}$ The absolute value of the product of Eigen values of $R$ is _______
asked
Feb 7
in
Linear Algebra
by
Arjun
Veteran
(
416k
points)

2.4k
views
gate2019
numericalanswers
engineeringmathematics
linearalgebra
eigenvalue
+1
vote
1
answer
21
Nullity of matrix
Nullity of a matrix = Total number columns – Rank of that matrix By how to calculate value of x when nullity is already given(1 in this case)
asked
Jan 24
in
Linear Algebra
by
Nandkishor3939
Active
(
1.1k
points)

137
views
engineeringmathematics
linearalgebra
matrices
rankofmatrix
matrix
0
votes
1
answer
22
Simple Determinant
how to prove determinant 1 and 2 are same by some rowcolumn manipulation ,please Help??
asked
Jan 19
in
Linear Algebra
by
BHASHKAR
(
25
points)

58
views
linearalgebra
engineeringmathematics
matrices
0
votes
1
answer
23
Made Easy Workbook
Let A be a 3*3 matrix whose characteristics roots are 3,2,1. If $B=A^2A$ then B=? a)24 b)2 c)12 d)12 Please explain in detail.
asked
Jan 19
in
Linear Algebra
by
Reshu $ingh
(
253
points)

124
views
linearalgebra
matrix
eigenvalue
0
votes
1
answer
24
GATEBOOK2019 Mock Test112
All the four entries of $2\times 2$ matrix $P = \begin{vmatrix} p_{11} \quad p_{12} \\ p_{21} \quad p_{22} \end{vmatrix}$ are non zero , and one of its eigen values is zero. Which of the following statements is TRUE? $p_{11}p_{22}  p_{12}p_{21} = 1$ $p_{11}p_{22}  p_{12}p_{21} = 1$ $p_{11}p_{22}  p_{12}p_{21} = 0$ $p_{11}p_{22} + p_{12}p_{21} = 0$
asked
Jan 19
in
Others
by
GATEBOOK
Boss
(
11.4k
points)

88
views
gb2019mock1
linearalgebra
eigenvalue
determinant
0
votes
1
answer
25
MadeEasy Full Length Test 2019: Engineering Mathematics  Linear Algebra
asked
Jan 16
in
Linear Algebra
by
roman_1997
(
169
points)

85
views
linearalgebra
engineeringmathematics
madeeasytestseries2019
madeeasytestseries
0
votes
0
answers
26
Recurrence Relation for Array
A two dimensional array is stored in column major form in memory if the elements are stored in the following sequence ... calculated as the column number of the element we are looking for summing with the $row \times column$ number of elements. How does the above recurrence relation work?
asked
Jan 7
in
DS
by
kauray
(
203
points)

85
views
recurrence
recurrenceeqation
arrays
linearalgebra
operatingsystem
0
votes
0
answers
27
Doubt on syllabus
Is LU decomposition in course for GATE 2019?
asked
Jan 6
in
Linear Algebra
by
subho16
(
135
points)

53
views
engineeringmathematics
ludecomposition
linearalgebra
0
votes
0
answers
28
Eigen Values Doubt
Let there is a 2*2 Matrix and their eigen values are A and B. The eigen values of $(A+7I)^{1}$ ?
asked
Jan 4
in
Linear Algebra
by
Shamim Ahmed
Active
(
2.3k
points)

97
views
eigenvalue
engineeringmathematics
linearalgebra
0
votes
0
answers
29
The time complexity for the possible ways of multiplying the given set of n matrices.
asked
Jan 1
in
Algorithms
by
susgir2
Active
(
1.4k
points)

45
views
algorithms
timecomplexity
linearalgebra
0
votes
0
answers
30
doubt
how can we find factor of determinant by hit and trial method ? Please explain the steps https://gateoverflow.in/ask?cat=33
asked
Dec 26, 2018
in
Linear Algebra
by
Satbir
Boss
(
17.3k
points)

21
views
linearalgebra
Page:
1
2
3
4
5
6
...
14
next »
Quick search syntax
tags
tag:apple
author
user:martin
title
title:apple
content
content:apple
exclude
tag:apple
force match
+apple
views
views:100
score
score:10
answers
answers:2
is accepted
isaccepted:true
is closed
isclosed:true
Recent Posts
ISI MTECH CS 2019 INTERVIEW EXPERIENCE
IIT HYDERABAD MTECH TA INTERVIEW EXPERIENCE
How to prepare for GATE with a fulltime job??
Interview Experience at IISc
All subject Gate notes from Standard Books!!
Follow @csegate
Recent questions tagged linearalgebra
Recent Blog Comments
Refund time depends on the payment mode ...
@Arjun Sir , when can i expect my refund in the...
This book is returned you can enable a pay now...
@Pranavcool The book stocks are over and no one...
@Lokesh Thats unfortunate. I have refunded you....
49,830
questions
54,802
answers
189,511
comments
80,747
users