The Gateway to Computer Science Excellence
For all GATE CSE Questions
Toggle navigation
GATE Overflow
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
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
Invertible Matrix
0
votes
80
views
Let $A$ be a nilpotent matrix. Show that $I + A$ is invertible.
engineeringmathematics
linearalgebra
matrices
matrix
asked
Aug 8, 2018
in
Linear Algebra
by
pankaj_vir
Boss
(
10.3k
points)

80
views
answer
comment
Your identity must be verified before you can post a comment. Please wait if already uploaded identity proof or upload your proof
here
Please
log in
or
register
to answer this question.
← Prev. Qn. in Sub.
Next Qn. in Sub. →
← Prev.
Next →
Related questions
0
votes
2
answers
1
Invertible Matrix
Let A be a $5 × 5$ invertible matrix with row sums $1$. That is $\sum_{j=1}^{5} a_{ij} = 1$ for $1 \leq i\leq 5$. Then, what is the sum of all entries of $A^{1}$.
asked
Aug 8, 2018
in
Linear Algebra
by
pankaj_vir
Boss
(
10.3k
points)

141
views
engineeringmathematics
linearalgebra
matrices
matrix
easy
+1
vote
1
answer
2
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
(
1.2k
points)

116
views
engineeringmathematics
linearalgebra
matrices
rankofmatrix
matrix
+1
vote
1
answer
3
Rank of matrix
The rank of above matrix is 3 then what is that square sub matrix of order 3 whose determinant is not equal to 0.
asked
Jan 9, 2017
in
Linear Algebra
by
harshit agarwal
(
331
points)

834
views
matrix
rankofmatrix
matrices
linearalgebra
+2
votes
2
answers
4
Matrix Invertibility
Let A be (3×3) real matrix. Suppose 1 & 1 are two of three Eigen values of A and 18 is one of the Eigen values of A2+3A. Then [ A ] A is invertible as well as A2 + 3A is invertible [ B ] A^2+3A is invertible but A is not invertible [ C ] A is invertible but A^2+3A is not invertible [ D ] Both A & A^2+3A are not invertible
asked
Nov 8, 2016
in
Linear Algebra
by
vishal8492
Junior
(
711
points)

234
views
matrices
linearalgebra
matrix
0
votes
1
answer
5
matrix
asked
Oct 14, 2016
in
Linear Algebra
by
Prateek kumar
Loyal
(
8.5k
points)

172
views
matrix
matrices
linearalgebra
+3
votes
1
answer
6
MATRIX
Let A be a $3 \times 3$ matrix with integer entries such that $A =1$. What is the maximum possible number of entries of A that are even?
asked
Jan 19, 2017
in
Set Theory & Algebra
by
Supremo
Junior
(
527
points)

255
views
matrix
matrices
linearalgebra
discretemathematics
0
votes
1
answer
7
matrix
asked
Oct 18, 2016
in
Mathematical Logic
by
Prateek kumar
Loyal
(
8.5k
points)

77
views
matrices
matrix
linearalgebra
Network Sites
GO Mechanical
GO Electrical
GO Electronics
GO Civil
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 Kanpur MS Interview experience
My GATE preparation and what you can learn from it
IIT Bombay RA (2019) Programming Questions
COAP Round 1 has started
MTECH (COUURSE WORK) AI INTERVIEW EXPERIENCE 2019
All categories
General Aptitude
1.6k
Engineering Mathematics
7.3k
Discrete Mathematics
5.1k
Probability
989
Linear Algebra
686
Calculus
497
Digital Logic
2.9k
Programming & DS
4.9k
Algorithms
4.3k
Theory of Computation
6k
Compiler Design
2k
Operating System
4.2k
Databases
4.1k
CO & Architecture
3.4k
Computer Networks
4.1k
Non GATE
1.4k
Others
1.5k
Admissions
591
Exam Queries
575
Tier 1 Placement Questions
23
Job Queries
72
Projects
18
Follow @csegate
Recent Blog Comments
It was free when I gave them, maybe they made it...
The tests are there but it ain't free. Cost is...
They removed their tests recently, I think it'll...
how did you get Success gateway test series for...
49,412
questions
53,594
answers
185,832
comments
70,878
users