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

I forgot my password
Activity
Questions
Unanswered
Tags
Subjects
Users
Ask
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
GATE198813ic
0
votes
102
views
Verify whether the following mapping is a homomorphism. If so, determine its kernel.
$f(x)=x^3$, for all $x$ belonging to $G$.
gate1988
normal
descriptive
asked
Dec 20, 2016
in
Set Theory & Algebra
by
jothee
Veteran
(
112k
points)

102
views
Facebook
Google+
Twitter
answer
comment
Please
log in
or
register
to add a comment.
Please
log in
or
register
to answer this question.
← Prev. Qn. in Sub.
Next Qn. in Sub. →
← Prev.
Next →
Related questions
0
votes
0
answers
1
GATE198813ib
Verify whether the following mapping is a homomorphism. If so, determine its kernel. $\bar{G}=G$
asked
Dec 20, 2016
in
Set Theory & Algebra
by
jothee
Veteran
(
112k
points)

64
views
gate1988
normal
descriptive
0
votes
0
answers
2
GATE198813ia
Verify whether the following mapping is a homomorphism. If so, determine its kernel. $G$ is the group of non zero real numbers under multiplication.
asked
Dec 20, 2016
in
Set Theory & Algebra
by
jothee
Veteran
(
112k
points)

87
views
gate1988
normal
descriptive
groups
0
votes
0
answers
3
GATE198816i
Assume that the matrix $A$ given below, has factorization of the form $LU=PA$, where $L$ is lowertriangular with all diagonal elements equal to 1, $U$ is uppertriangular, and $P$ is a permutation matrix. For $A = \begin{bmatrix} 2 & 5 & 9 \\ 4 & 6 & 5 \\ 8 & 2 & 3 \end{bmatrix}$ Compute $L, U,$ and $P$ using Gaussian elimination with partial pivoting.
asked
Dec 20, 2016
in
Linear Algebra
by
jothee
Veteran
(
112k
points)

189
views
gate1988
normal
descriptive
linearalgebra
matrices
+3
votes
0
answers
4
GATE198815
Consider the DFA $M$ and NFA M2 as defined below. Let the language accepted by machine $M$ be $L$. What language machine M2 accepts, if $F2=A$ ? $F2=B$ ? $F2=C$ ? $F2=D$ ? $M=(Q, \Sigma, \delta, q_0, F)$ $M2=(Q2, \Sigma, \delta_2, q_{00}, F2)$ ... $D=\{\langle p, q, r \rangle \mid p \in Q; q \in F\}$
asked
Dec 20, 2016
in
Theory of Computation
by
jothee
Veteran
(
112k
points)

170
views
normal
gate1988
descriptive
theoryofcomputation
+1
vote
3
answers
5
GATE198813iii
Are the two diagraphs shown in the above figure isomorohic? Justify your answer.
asked
Dec 20, 2016
in
Graph Theory
by
jothee
Veteran
(
112k
points)

262
views
normal
gate1988
descriptive
graphtheory
graphisomorphism
0
votes
2
answers
6
GATE198812iv
Select SNAME from S Where SNOin (select SNO from SP where PNOin (select PNO from P Where COLOUR='BLUE')) What relations are being used in the above SQL query? Given at least two attributes of each of these relations.
asked
Dec 20, 2016
in
Databases
by
jothee
Veteran
(
112k
points)

147
views
gate1988
normal
descriptive
databases
0
votes
1
answer
7
GATE198812iii
Describe the relational algebraic expression giving the relation returned by the following SQL query. Select SNAME from S Where SNOin (select SNO from SP where PNOin (select PNO from P Where COLOUR='BLUE'))
asked
Dec 20, 2016
in
Databases
by
jothee
Veteran
(
112k
points)

113
views
gate1988
normal
descriptive
databases
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
IIT HYDERABAD M.Tech (RA) 3Years Winter Session Interview experience
INDIAN AIR FORCE
GATE BOOK _ TEST SERIES DOUBT_
Visualizing complex C code
GATE Book Test Series
All categories
General Aptitude
1.4k
Engineering Mathematics
6.5k
Discrete Mathematics
4.5k
Mathematical Logic
1.8k
Set Theory & Algebra
1.2k
Combinatory
821
Graph Theory
735
Probability
913
Linear Algebra
629
Calculus
448
Digital Logic
2.5k
Programming & DS
4.6k
Algorithms
3.9k
Theory of Computation
5k
Compiler Design
1.9k
Operating System
3.7k
Databases
3.7k
CO & Architecture
3.2k
Computer Networks
3.7k
Non GATE
1.2k
Others
1.3k
Admissions
512
Exam Queries
504
Tier 1 Placement Questions
23
Job Queries
66
Projects
18
Follow @csegate
Gatecse
Recent Blog Comments
when will be the grand/full test added??
There is one more problem. Ppl who have...
CL013924707IN rt?
I ordered the GO BOOK 6 dec ....but still i didnt...
44,263
questions
49,758
answers
164,197
comments
65,849
users