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
Activity
Questions
Unanswered
Tags
Subjects
Users
Ask
Prev
Blogs
New Blog
Exams
Self DoubtLA
0
votes
40
views
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?
linearalgebra
systemofequations
asked
May 26, 2019
in
Mathematical Logic
by
MRINMOY_HALDER
Active
(
3.8k
points)

40
views
answer
comment
0
In case of det(A)=0, either infinite solution or no solution exists..
0
how is this happening???
I want to know this because of remembering
0
https://math.stackexchange.com/questions/249919/fordeta0howdoweknowifahasnosolutionorinfinitelymanysoluti
Please
log in
or
register
to add a comment.
Please
log in
or
register
to answer this question.
0
Answers
← Prev. Qn. in Sub.
Next Qn. in Sub. →
← Prev.
Next →
Related questions
+1
vote
1
answer
1
ISI2014DCG9
The values of $\eta$ for which the following system of equations $\begin{array} {} x & + & y & + & z & = & 1 \\ x & + & 2y & + & 4z & = & \eta \\ x & + & 4y & + & 10z & = & \eta ^2 \end{array}$ has a solution are $\eta=1, 2$ $\eta=1, 2$ $\eta=3, 3$ $\eta=1, 2$
asked
Sep 23, 2019
in
Linear Algebra
by
Arjun
Veteran
(
431k
points)

76
views
isi2014dcg
linearalgebra
systemofequations
0
votes
1
answer
2
ISI2014DCG64
The value of $\lambda$ such that the system of equation $\begin{array}{} 2x & – & y & + & 2z & = & 2 \\ x & – & 2y & + & z & = & 4 \\ x & + & y & + & \lambda z & = & 4 \end{array}$ has no solution is $3$ $1$ $0$ $3$
asked
Sep 23, 2019
in
Linear Algebra
by
Arjun
Veteran
(
431k
points)

59
views
isi2014dcg
linearalgebra
matrices
systemofequations
0
votes
1
answer
3
ISI2015MMA43
The values of $\eta$ for which the following system of equations $\begin{array} {} x & + & y & + & z & = & 1 \\ x & + & 2y & + & 4z & = & \eta \\ x & + & 4y & + & 10z & = & \eta ^2 \end{array}$ has a solution are $\eta = 1, 2$ $\eta = 1, 2$ $\eta = 3, 3$ $\eta = 1, 2$
asked
Sep 23, 2019
in
Linear Algebra
by
Arjun
Veteran
(
431k
points)

27
views
isi2015mma
linearalgebra
systemofequations
0
votes
1
answer
4
ISI2015MMA44
Let $P_1$, $P_2$ and $P_3$ denote, respectively, the planes defined by $\begin{array} {} a_1x +b_1y+c_1z=\alpha _1 \\ a_2x +b_2y+c_2z=\alpha _2 \\ a_3x +b_3y+c_3z=\alpha _3 \end{array}$ It is given that $P_1$, $P_2$ and $P_3$ ... then the planes do not have any common point of intersection intersect at a unique point intersect along a straight line intersect along a plane
asked
Sep 23, 2019
in
Linear Algebra
by
Arjun
Veteran
(
431k
points)

28
views
isi2015mma
linearalgebra
systemofequations
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
ISRO CSE 2020 PAPER ANALYSE
BARC OCES/DGFS 2020
ISI CMI PDF by GATE Overflow
Calculus Important Points
Management Trainee Recruitment COAL INDIA 2020
All categories
General Aptitude
1.9k
Engineering Mathematics
7.5k
Discrete Mathematics
5.2k
Mathematical Logic
2.1k
Set Theory & Algebra
1.4k
Combinatory
916
Graph Theory
824
Probability
1k
Linear Algebra
723
Calculus
592
Digital Logic
2.9k
Programming and DS
4.9k
Algorithms
4.4k
Theory of Computation
6.2k
Compiler Design
2.1k
Operating System
4.5k
Databases
4.1k
CO and Architecture
3.4k
Computer Networks
4.2k
Non GATE
1.4k
Others
1.4k
Admissions
595
Exam Queries
573
Tier 1 Placement Questions
23
Job Queries
72
Projects
18
Follow @csegate
Recent Blog Comments
100 percent
I am getting 151 marks excluding question not...
everyone will be surprised seeing the cutoff this...
There is no point of any debate/discourse here....
absolutely right
50,737
questions
57,292
answers
198,230
comments
104,911
users