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
All Activity
Questions
Unanswered
Tags
Subjects
Users
Ask
Previous
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 matrices
0
votes
0
answers
1
Invertible Matrix
Let $A$ be a nilpotent matrix. Show that $I + A$ is invertible.
asked
Aug 8
in
Linear Algebra
by
pankaj_vir
Loyal
(
9.2k
points)

10
views
engineeringmathematics
linearalgebra
matrices
matrix
0
votes
2
answers
2
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
in
Linear Algebra
by
pankaj_vir
Loyal
(
9.2k
points)

47
views
engineeringmathematics
linearalgebra
matrices
matrix
easy
0
votes
1
answer
3
Inversion of a matrix  CSIR question
Let A be 3x3 matrix. Suppose 1 and 1 are two of the three Eigen Values of A and 18 is one of the Eigen Values of A2+3A. Then____ a.) Both A and A2+3A are invertible. b.) A2+3A but A is not. c.) A is invertible but A2+3A is not invertible. d.) Both A and A2+3A are not invertible.
asked
Jul 5
in
Linear Algebra
by
ZeroFriction
(
15
points)

67
views
linearalgebra
matrices
engineeringmathematics
eigenvalue
matrixinversion
0
votes
3
answers
4
Made easy test
Consider the rank of matrix $'A'$ of size $(m \times n)$ is $"m1"$. Then, which of the following is true? $AA^T$ will be invertible. $A$ have $"m1"$ linearly independent rows and $"m1"$ linearly ... and $"n"$ linearly independent columns. $A$ will have $"m1"$ linearly independent rows and $"n1"$ independent columns.
asked
May 31
in
Linear Algebra
by
saumya mishra
Active
(
1.2k
points)

107
views
engineeringmathematics
linearalgebra
matrices
+1
vote
1
answer
5
Matrix
Each row of M can be represented as a linear combination of the other rows 1)Does that mean linear combination of other rows will be 0? how ? 2)And also , is linear combination means add, subtract, multiply and divide , but not squaring or root or exponential operation,right? https://gateoverflow.in/3319/gate2008it29
asked
May 30
in
Linear Algebra
by
srestha
Veteran
(
91.8k
points)

88
views
linearalgebra
matrices
engineeringmathematics
+1
vote
3
answers
6
Matrix
The matrix $A=\begin{bmatrix} 1 &4 \\ 2 &3 \end{bmatrix}$ satisfies the following polynomial $A^{5}4A^{4}7A^{3}+11A^{2}2A+kI=0$ Then the value of k is ______________
asked
May 26
in
Linear Algebra
by
srestha
Veteran
(
91.8k
points)

205
views
linearalgebra
matrices
engineeringmathematics
0
votes
0
answers
7
Matrix
To find the product of the nonzero eigenvalues of the matrix is ____ $\begin{pmatrix} 1 & 0 & 0 & 0 & 1 \\ 0 & 1 & 1 & 1 & 0 \\ 0 & 1 & 1 & 1 & 0 \\ 0 & 1 & 1 & 1 & 0 \\ 1 & 0 & 0 ... [ \left ( 1\lambda \right )\left ( \lambda ^{2}2\lambda \right ) \right ]$ then $\lambda =1,2,0$ Where is my mistake, plz tell me
asked
May 14
in
Linear Algebra
by
srestha
Veteran
(
91.8k
points)

158
views
linearalgebra
matrices
engineeringmathematics
+2
votes
4
answers
8
ISI201729
Suppose the rank of the matrix $$\begin{pmatrix}1&1&2&2\\1&1&1&3\\a&b&b&1\end{pmatrix}$$ is $2$ for some real numbers $a$ and $b$. Then $b$ equals $1$ $3$ $1/2$ $1/3$
asked
Mar 29
in
Linear Algebra
by
jjayantamahata
Active
(
1.5k
points)

176
views
isi2017
engineeringmathematics
matrices
rankofmatrix
+1
vote
2
answers
9
ISI201719
If $\alpha, \beta$ and $\gamma$ are the roots of $x^3  px +q = 0$, then the value of the determinant $$\begin{vmatrix}\alpha & \beta & \gamma\\\beta & \gamma & \alpha\\\gamma & \alpha & \beta\end{vmatrix}$$ is $p$ $p^2$ $0$ $p^2+6q$
asked
Mar 28
in
Mathematical Logic
by
jjayantamahata
Active
(
1.5k
points)

124
views
isi2017
matrices
determinant
+1
vote
2
answers
10
ISI201715
The diagonal elements of a square matrix $M$ are odd integers while the offdiagonals are even integers. Then $M$ must be singular $M$ must be nonsingular There is not enough information to decide the singularity of $M$ $M$ must have a positive eigenvalue.
asked
Mar 27
in
Mathematical Logic
by
jjayantamahata
Active
(
1.5k
points)

106
views
isi2017
matrices
+2
votes
3
answers
11
ISI20175
If $A$ is a $2 \times 2$ matrix such that trace $A = det \ A = 3,$ then what is the trace of $A^{1}$? $1$ $\left(\dfrac{1}{3}\right)$ $\left(\dfrac{1}{6}\right)$ $\left(\dfrac{1}{2}\right)$
asked
Mar 27
in
Linear Algebra
by
jjayantamahata
Active
(
1.5k
points)

143
views
engineeringmathematics
isi2017
matrices
+3
votes
1
answer
12
Made easy workbook
Let $A$ be a $4\times 4$ matrix with real entries such that $1,1,2,2$ are eigen values.If $B=A^45A^2+5I$ then trace of $A+B$ is...........
asked
Mar 22
in
Linear Algebra
by
Avik Chowdhury
Junior
(
737
points)

153
views
matrices
eigenvalue
+3
votes
1
answer
13
Madeeasy workbook
The number of different matrices that can be formed with elements $0,1,2,3$; each matrix having $4$ elements is $2\times 4^4$ $3\times 4^4$ $4\times 4^4$ $3\times 2^4$
asked
Mar 22
in
Linear Algebra
by
Avik Chowdhury
Junior
(
737
points)

86
views
matrices
+1
vote
1
answer
14
Madeeasy workbook
Let $A$ be a $3\times 3$ matrix with Eigen values $1,1,0$.Then $\mid A^{100}+I\mid$ is...
asked
Mar 22
in
Linear Algebra
by
Avik Chowdhury
Junior
(
737
points)

165
views
matrices
eigen
eigenvalue
+2
votes
2
answers
15
Madeeasy workbook
A $3\times 3$ matrix $P$ is such that $P^3 =P$.Then the eigenvalues of $P$ are $1,1,1$ $1,0.5+j(0.886),0.5j(0.866)$ $1,0.5+j(0.866),0.5j(0.886)$ $0,1,1$
asked
Mar 22
in
Linear Algebra
by
Avik Chowdhury
Junior
(
737
points)

98
views
matrices
eigenvalue
+1
vote
2
answers
16
Madeeasy workbook
Let $A$ be a $3\times 3$ matrix such that $\mid AI \mid=0$.If trace of $A=13$ and $det A = 32$ then sum of squares of the eigen values of $A$ is ..... $82$ $13$ $169$ $81$
asked
Mar 22
in
Linear Algebra
by
Avik Chowdhury
Junior
(
737
points)

281
views
matrices
eigenvalue
+1
vote
2
answers
17
Madeeasy workbook
Let $A$ be a $3\times 4$ matrix.The system of equations $Ax=0$ has unique solution Infinite solution No solution Exactly 2 solutions
asked
Mar 22
in
Linear Algebra
by
Avik Chowdhury
Junior
(
737
points)

1k
views
matrices
+1
vote
1
answer
18
Made easy workbook
Let $A = (a_{ij})_{n\times n}$ such that $a_{ij}=3$ for all $i,j$ then nullity of $A$ is $n1$ $n3$ $n$ $0$
asked
Mar 22
in
Linear Algebra
by
Avik Chowdhury
Junior
(
737
points)

111
views
matrices
nullityofmatrix
0
votes
2
answers
19
ISI201418
Let $D_1 = det \begin{pmatrix}a & b & c\\x &y & z\\p& q & r\end{pmatrix}$ and $D_2 = det \begin{pmatrix}x & a & p\\y &b & q\\z & c & r\end{pmatrix}$ Then $D_1 = D_2$ $D_1 = 2D_2$ $D_1 = D_2$ $D_2 = 2D_1$
asked
Mar 18
in
Mathematical Logic
by
jjayantamahata
Active
(
1.5k
points)

53
views
matrices
+1
vote
1
answer
20
Determinant
Find the determinant of the $n\times n$ matrix $\begin{bmatrix} 2cos\Theta & 1 & 0 &0 &........ & 0 & \\ 1&2cos\Theta &1 & 0 & ........ & 0 & \\ 0&1 & 2cos\Theta & 1 &........ & 0 & ... &.... & 1 & 2cos\Theta & \end{bmatrix}$ how the answer could be $D_{n}2cos\Theta D_{n1}+D_{n2}=0$? Plz explain
asked
Mar 13
in
Linear Algebra
by
srestha
Veteran
(
91.8k
points)

95
views
linearalgebra
matrices
+1
vote
1
answer
21
Eigen value of the following matrix
The eigen value of the following matrix is $\begin{bmatrix}1&1&1\\1&1&1\\1&1&1\end{bmatrix}$ $1, 1, 1$ $1, 0, 0$ $3, 0, 0$ $0, 0, 0$
asked
Mar 3
in
Linear Algebra
by
Prince Sindhiya
Active
(
1.9k
points)

94
views
eigenvalue
matrices
0
votes
1
answer
22
GATE 2018 Maths  22(Electronics and Communication Engineering)
asked
Feb 21
in
Calculus
by
Lakshman Patel RJIT
Loyal
(
8k
points)

210
views
gate2018
engineeringmathematics
linearalgebra
matrices
normal
+1
vote
2
answers
23
GATE 2018 Maths  29 (Chemical Engineering)
asked
Feb 20
in
Linear Algebra
by
Lakshman Patel RJIT
Loyal
(
8k
points)

101
views
gate2018
engineeringmathematics
matrices
+10
votes
3
answers
24
GATE201826
Consider a matrix P whose only eigenvectors are the multiples of $\begin{bmatrix} 1 \\ 4 \end{bmatrix}$. Consider the following statements. P does not have an inverse P has a repeated eigenvalue P cannot be diagonalized Which one of the following options ... and III are necessarily true Only II is necessarily true Only I and II are necessarily true Only II and III are necessarily true
asked
Feb 14
in
Linear Algebra
by
gatecse
Boss
(
18.1k
points)

2.1k
views
gate2018
linearalgebra
matrices
eigenvalue
normal
0
votes
0
answers
25
Gate_2018_Model_Paper
How to solve it for M^1?
asked
Feb 1
in
Mathematical Logic
by
Harikesh Kumar
Active
(
1.4k
points)

67
views
inverseof
matrices
0
votes
0
answers
26
Matrix
asked
Jan 31
in
Linear Algebra
by
srestha
Veteran
(
91.8k
points)

92
views
matrices
engineeringmathematics
eigenvalue
+1
vote
0
answers
27
Test_series
If an idempotent matrix is also SkewSymmetric then it must be a Null matrix an involuntary matrix an identity matrix Harmitian matrix
asked
Jan 21
in
Mathematical Logic
by
vijay_jr
Active
(
1.1k
points)

139
views
engineeringmathematics
matrices
+5
votes
2
answers
28
LU decomposition
asked
Jan 13
in
Linear Algebra
by
Lakshman Patel RJIT
Loyal
(
8k
points)

83
views
linearalgebra
matrices
+6
votes
1
answer
29
matrix to det
asked
Jan 12
in
Linear Algebra
by
Lakshman Patel RJIT
Loyal
(
8k
points)

44
views
engineeringmathematics
matrices
+5
votes
1
answer
30
matrix
asked
Jan 12
in
Linear Algebra
by
Lakshman Patel RJIT
Loyal
(
8k
points)

75
views
engineeringmathematics
matrices
Page:
1
2
3
4
5
6
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
Schedule for GATE 2019
GATE 2019 official website
Correct way of preparation
Right process to start solving MCQs in Comp.Sc.
UGC NET JULY 2018 Results
Follow @csegate
Gatecse
Recent questions tagged matrices
Recent Blog Comments
Books are there but don't think any will leave ...
Sir i have placed the order Details are PAYMENT ...
Sir i am placing order for gate overflew book ...
Yes, their tracking system is incomplete. ...
India post don't update the tracking details. No ...
38,094
questions
45,586
answers
132,147
comments
49,110
users