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
Recent questions tagged matrices
0
votes
1
answer
1
Simple Determinant
how to prove determinant 1 and 2 are same by some rowcolumn manipulation ,please Help??
asked
1 day
ago
in
Linear Algebra
by
BHASHKAR
(
21
points)

12
views
linearalgebra
engineeringmathematics
matrices
+1
vote
0
answers
2
#set theory #groups
Consider the set H of all 3 × 3 matrices of the type: $\begin{bmatrix} a&f&e\\ 0&b&d\\ 0&0&c\\ \end{bmatrix}$ where a, b, c, d, e and f are real numbers and $abc ≠ 0$. Under the matrix multiplication operation, the set H is: (a) a group (b) a monoid but not a group (c) a semigroup but not a monoid (d) neither a group nor a semigroup
asked
Jan 5
in
Set Theory & Algebra
by
Kunal Kadian
Active
(
2.4k
points)

43
views
settheory&algebra
groups
matrices
0
votes
0
answers
3
Determinant
True and false IF A is 5*5 matrix then det(4$A^{3}$)=$4^{5}det(A^{3}))$ det($(4A)^{3}$)=$det(4^{3}A^{3}))$ i think both are true ??
asked
Jan 4
in
Mathematical Logic
by
Gurdeep Saini
Loyal
(
7.7k
points)

19
views
engineeringmathematics
matrices
+2
votes
1
answer
4
GATEBOOK2019LA11
The characteristic roots of a $3 \times 3$ matrix $A$ are $2, 2, 8.$ The constant term in the characteristic polynomial is $12$ $18$ $32$ $128$
asked
Dec 23, 2018
in
Linear Algebra
by
GATEBOOK
Boss
(
13.8k
points)

136
views
gb2019la1
matrices
+1
vote
1
answer
5
Cases when LU decomposition is possible.
I had already visited below link but was unable to grasp it. https://math.stackexchange.com/questions/218770/whendoesasquarematrixhaveanludecomposition. I made some form of selfanalysis, let me know if I am in the correct ... pivot, and if such cannot be fixed without a row shuffle operation, then LU decomposition is not possible. Am I correct?
asked
Nov 18, 2018
in
Linear Algebra
by
Ayush Upadhyaya
Boss
(
23k
points)

94
views
linearalgebra
matrices
0
votes
0
answers
6
GATEME2016
asked
Nov 6, 2018
in
Linear Algebra
by
aditi19
Active
(
2.2k
points)

80
views
gate20161
linearalgebra
matrices
eigenvalue
+3
votes
2
answers
7
Eigen Value
An orthogonal matrix A has eigen values 1, 2 and 4. What is the trace of the matrix
asked
Sep 20, 2018
in
Linear Algebra
by
aditi19
Active
(
2.2k
points)

108
views
matrices
eigenvalue
0
votes
0
answers
8
Invertible Matrix
Let $A$ be a nilpotent matrix. Show that $I + A$ is invertible.
asked
Aug 8, 2018
in
Linear Algebra
by
pankaj_vir
Boss
(
10k
points)

59
views
engineeringmathematics
linearalgebra
matrices
matrix
0
votes
2
answers
9
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
(
10k
points)

112
views
engineeringmathematics
linearalgebra
matrices
matrix
easy
0
votes
1
answer
10
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, 2018
in
Linear Algebra
by
ZeroFriction
(
15
points)

131
views
linearalgebra
matrices
engineeringmathematics
eigenvalue
matrixinversion
0
votes
3
answers
11
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 ... $"n"$ linearly independent columns. $A$ will have $"m1"$ linearly independent rows and $"n1"$ independent columns.
asked
May 31, 2018
in
Linear Algebra
by
saumya mishra
Active
(
1.5k
points)

159
views
engineeringmathematics
linearalgebra
matrices
+1
vote
1
answer
12
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, 2018
in
Linear Algebra
by
srestha
Veteran
(
106k
points)

130
views
linearalgebra
matrices
engineeringmathematics
+1
vote
3
answers
13
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, 2018
in
Linear Algebra
by
srestha
Veteran
(
106k
points)

344
views
linearalgebra
matrices
engineeringmathematics
0
votes
0
answers
14
Matrix
To find the product of the nonzero eigenvalues of the matrix is ____ ... $\lambda =1,2,0$ Where is my mistake, plz tell me
asked
May 14, 2018
in
Linear Algebra
by
srestha
Veteran
(
106k
points)

191
views
linearalgebra
matrices
engineeringmathematics
+4
votes
4
answers
15
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, 2018
in
Linear Algebra
by
jjayantamahata
Active
(
1.7k
points)

289
views
isi2017
engineeringmathematics
matrices
rankofmatrix
+1
vote
2
answers
16
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, 2018
in
Mathematical Logic
by
jjayantamahata
Active
(
1.7k
points)

165
views
isi2017
matrices
determinant
+1
vote
2
answers
17
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, 2018
in
Mathematical Logic
by
jjayantamahata
Active
(
1.7k
points)

126
views
isi2017
matrices
+3
votes
3
answers
18
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, 2018
in
Linear Algebra
by
jjayantamahata
Active
(
1.7k
points)

223
views
engineeringmathematics
isi2017
matrices
+3
votes
1
answer
19
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, 2018
in
Linear Algebra
by
Avik Chowdhury
Junior
(
891
points)

228
views
matrices
eigenvalue
+3
votes
1
answer
20
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, 2018
in
Linear Algebra
by
Avik Chowdhury
Junior
(
891
points)

116
views
matrices
+1
vote
1
answer
21
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, 2018
in
Linear Algebra
by
Avik Chowdhury
Junior
(
891
points)

261
views
matrices
eigen
eigenvalue
+2
votes
2
answers
22
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, 2018
in
Linear Algebra
by
Avik Chowdhury
Junior
(
891
points)

141
views
matrices
eigenvalue
+1
vote
2
answers
23
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, 2018
in
Linear Algebra
by
Avik Chowdhury
Junior
(
891
points)

518
views
matrices
eigenvalue
+2
votes
2
answers
24
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, 2018
in
Linear Algebra
by
Avik Chowdhury
Junior
(
891
points)

1.9k
views
matrices
+1
vote
1
answer
25
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, 2018
in
Linear Algebra
by
Avik Chowdhury
Junior
(
891
points)

222
views
matrices
nullityofmatrix
0
votes
2
answers
26
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, 2018
in
Mathematical Logic
by
jjayantamahata
Active
(
1.7k
points)

68
views
matrices
+1
vote
1
answer
27
Determinant
Find the determinant of the $n\times n$ ... $D_{n}2cos\Theta D_{n1}+D_{n2}=0$? Plz explain
asked
Mar 13, 2018
in
Linear Algebra
by
srestha
Veteran
(
106k
points)

120
views
linearalgebra
matrices
+1
vote
1
answer
28
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, 2018
in
Linear Algebra
by
Prince Sindhiya
Loyal
(
6.1k
points)

130
views
eigenvalue
matrices
0
votes
1
answer
29
GATE 2018 Maths  22(Electronics and Communication Engineering)
Consider matrix $A =$ $\begin{bmatrix} k &2k \\ k^{2}k &k^{2} \end{bmatrix}$ and $x =$ $\begin{bmatrix} x1\\x2 \end{bmatrix}$ The number of distinct real values of $k$ for which the equation $Ax = 0$ has infinitely many solutions is _______.
asked
Feb 21, 2018
in
Calculus
by
Lakshman Patel RJIT
Boss
(
26.8k
points)

273
views
gate2018
engineeringmathematics
linearalgebra
matrices
normal
+1
vote
2
answers
30
GATE 2018 Maths  29 (Chemical Engineering)
For the matrix $A = \begin{bmatrix}cos\theta & sin\theta \\ sin\theta & cos\theta \end{bmatrix}$ if $\textit{det}$ stands for the determinant and $A^T$ is the transpose of $A$ then the value of $\textit{det}(A^TA)$ is __________ .
asked
Feb 20, 2018
in
Linear Algebra
by
Lakshman Patel RJIT
Boss
(
26.8k
points)

131
views
gate2018
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
PSU's
Decidability Slides
AAI JE IT results out! Adv no 02/2018
Graph Theory Slides for GATECSE
Generating Function Useful Link
Follow @csegate
Gatecse
Recent questions tagged matrices
Recent Blog Comments
Thank you, lots of things got clear!
Those who have given yes. But those with 10000+...
47,080
questions
51,333
answers
177,707
comments
66,675
users