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
Lists
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 linearalgebra
Webpage for Linear Algebra
0
votes
0
answers
1
GATE 2017 (EC) Eigen Value
For the given matrix $A$, one of the Eigenvalue is real $A=\begin{bmatrix} 1 &2 &3 &4 &5 \\ 5 &1 &2 &3 &4 \\ 4&5 &1 &2 &3 \\ 3&4 &5 &1 &2 \\ 2 &3 &4 &5 &1 \end{bmatrix}$ The real Eigen value is: $A)2.5$ $B)0$ $C)15$ $D)25$
asked
3 hours
ago
in
Linear Algebra
by
Lakshman Patel RJIT
Loyal
(
9.6k
points)

11
views
engineeringmathematics
linearalgebra
matrix
eigenvalue
0
votes
0
answers
2
number of linearly indendent eigen vectors
asked
4 days
ago
in
Linear Algebra
by
MIRIYALA JEEVAN KUMA
Active
(
2.2k
points)

21
views
linearalgebra
eigenvalue
0
votes
0
answers
3
Linear Algebra
We know, the eigen value for upper triangular/lower triangular/diagonal matrices are the diagonal elements of the matrix. https://gateoverflow.in/858/gate20025a This question, https://gateoverflow.in/1174/gate200549 If apply row transformation to convert it ... make the given matrix to upper triangular matrix, so that eigen values will be equal to the elements in the diagonals?
asked
Oct 5
in
Linear Algebra
by
Swapnil Naik
Active
(
1.3k
points)

31
views
linearalgebra
engineeringmathematics
eigenvalue
+1
vote
1
answer
4
GATE2016 37 Mathematics
Let $M = \begin{bmatrix} a & b &c \\ b &d & e\\ c & e & f \end{bmatrix}$ be a real matrix with eigenvalues 1, 0 and 3. If the eigenvectors corresponding to 1 and 0 are $\left ( 1,1,1 \right )^T$ and $\left ( 1,1, 0 \right )^T$ respectively, then the value of 3f is equal to _______.
asked
Oct 4
in
Linear Algebra
by
Mk Utkarsh
Boss
(
20.1k
points)

90
views
linearalgebra
eigenvalue
0
votes
0
answers
5
Which books are good to practice linear algebra and calculas?
asked
Oct 1
in
GATE
by
aditi19
Junior
(
863
points)

11
views
linearalgebra
calculus
numericalmethods
0
votes
1
answer
6
Linear Algebra RGPV 2001
Test the consistency of the following system of equations and solve if possible $3x + 3y +2z = 1$ $x + 2y = 4$ $10y + 3z = 2$ $2x  3y z = 5$
asked
Sep 29
in
Linear Algebra
by
Mk Utkarsh
Boss
(
20.1k
points)

42
views
linearalgebra
engineeringmathematics
systemofequations
0
votes
1
answer
7
Hk Dass Linear Algebra
Test the consistency of the following system of equations $5x + 3y + 7z = 4 $ $3x + 26y + 2z = 9$ $7x + 2y + 10z = 5$
asked
Sep 29
in
Linear Algebra
by
Mk Utkarsh
Boss
(
20.1k
points)

25
views
linearalgebra
systemofequations
0
votes
1
answer
8
Linear system of equations
asked
Sep 16
in
Linear Algebra
by
Na462
Loyal
(
6.4k
points)

22
views
engineeringmathematics
linearalgebra
systemofequations
0
votes
1
answer
9
Engineering Maths
If A = $\begin{bmatrix} 1 & 1 & 0 \\ 0 & 2 &2 \\ 0& 0 & 3 \end{bmatrix}$ then trace of the matrix 3A2 + adj A is ____
asked
Aug 23
in
Linear Algebra
by
suparna kar
(
87
points)

33
views
engineeringmathematics
linearalgebra
0
votes
0
answers
10
Gate 2016 ME Set 2
The condition for which the eigen values of the matrix A = $\begin{pmatrix} 2 &1 \\ 1& k \end{pmatrix}$ are positive, is a) k>1/2 b) k>2 c) k>0 d) k< 1/2
asked
Aug 17
in
Linear Algebra
by
suparna kar
(
87
points)

36
views
gate20161
linearalgebra
eigenvalue
0
votes
0
answers
11
Invertible Matrix
Let $A$ be a nilpotent matrix. Show that $I + A$ is invertible.
asked
Aug 8
in
Linear Algebra
by
pankaj_vir
Loyal
(
9.6k
points)

32
views
engineeringmathematics
linearalgebra
matrices
matrix
0
votes
2
answers
12
Invertible Matrix
Let A be a $5 Ã— 5$ 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
(
9.6k
points)

76
views
engineeringmathematics
linearalgebra
matrices
matrix
easy
+1
vote
1
answer
13
Discrete maths approach
Can you please guide me how to approach discrete maths? I want prepare it alongside with what's being taught at classroom coaching, please suggest resources and strategy
asked
Jul 30
in
Set Theory & Algebra
by
Ajaaz
(
33
points)

46
views
discretemathematics
permutationsandcombinations
settheory&algebra
mathematicallogic
linearalgebra
0
votes
1
answer
14
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)

87
views
linearalgebra
matrices
engineeringmathematics
eigenvalue
matrixinversion
0
votes
1
answer
15
linear algebra
the product of the nonzero eigen values of the matrax 1 0 0 0 1 0 1 1 1 0 0 1 1 1 0 0 1 1 1 0 1 0 0 0 1 how can we solve this question?
asked
Jul 2
in
Mathematical Logic
by
suneetha
(
237
points)

20
views
linearalgebra
eigenvalue
0
votes
3
answers
16
linear algebra
Let A be the 2 Ã— 2 matrix with elements a11 = a12 = a21 = +1 and a22 = âˆ’1. Then the eigenvalues of the matrix A19 are (a) 1024 andâˆ’1024 (b) 1024âˆš2 and âˆ’1024âˆš2 (c) 4âˆš2 andâˆ’4âˆš2 (d) 512âˆš2 andâˆ’512âˆš2
asked
Jul 2
in
Linear Algebra
by
suneetha
(
237
points)

39
views
linearalgebra
+1
vote
1
answer
17
Engineering Maths: Orthogonal Matrix
Is the given last point correct? But as i see in the given matrix sum of the product of first two columns (or) two rows is not zero. please verify.
asked
Jun 13
in
Linear Algebra
by
pbhati
(
35
points)

34
views
linearalgebra
engineeringmathematics
0
votes
0
answers
18
Gilbert Strang  Real Symmetric Matrices
asked
Jun 2
in
Linear Algebra
by
ankitgupta.1729
Loyal
(
7.6k
points)

43
views
linearalgebra
gilbertstrang
matrix
engineeringmathematics
0
votes
1
answer
19
Gilbert Strang 1.3.9
For which three numbers $k$ does elimination break down? Which is fixed by a row exchange? In each case, is the number of solutions $0$ or $1$ Infinity? $$Kx + 3 y =6\\3x +ky = 6$$
asked
May 31
in
Engineering Mathematics
by
Sandy Sharma
Junior
(
949
points)

59
views
linearalgebra
gilbertstrang
matrix
0
votes
3
answers
20
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
(
1.4k
points)

124
views
engineeringmathematics
linearalgebra
matrices
+1
vote
1
answer
21
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
(
98.4k
points)

103
views
linearalgebra
matrices
engineeringmathematics
0
votes
1
answer
22
If A and B are matrices of order 4 x 4 such that A= 5B and determinant of A = X. (determinant of B), then X will be
asked
May 30
in
Linear Algebra
by
VIDYADHAR SHELKE 1
(
143
points)

62
views
engineeringmathematics
linearalgebra
0
votes
1
answer
23
Made easy test
Which of the following matrices is LU DECOMPOSIBLE? How to find it? $\begin{bmatrix} 1 & 2 & 3 \\ 2 & 4 & 5 \\ 1 & 3 & 4 \end{bmatrix}$ $\begin{bmatrix} 3 & 2 \\ 0 & 1 \end{bmatrix}$ $\begin{bmatrix} 0 & 1 \\ 3 & 2 \end{bmatrix}$ $\begin{bmatrix} 1 & 3 & 7 \\ 2 & 6 & 1 \\ 0 & 3 & 2 \end{bmatrix}$
asked
May 30
in
Linear Algebra
by
saumya mishra
Active
(
1.4k
points)

69
views
engineeringmathematics
linearalgebra
+1
vote
3
answers
24
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
(
98.4k
points)

223
views
linearalgebra
matrices
engineeringmathematics
0
votes
0
answers
25
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
(
98.4k
points)

173
views
linearalgebra
matrices
engineeringmathematics
0
votes
1
answer
26
Regarding Preparation
I know this question has been asked many times, but yeah. I am weak in calculus and linear algebra and have never studied probability properly. Now according to internet suggestions, I should read Kreyzig or BS Grewal, but I will most probably want ... time for GATE 2019 should i watch lectures of Gilbert Strang, Stats 110 and calculus textbook, or should i stick to kreyzig?
asked
May 11
in
Calculus
by
mohitjarvissharma
(
357
points)

87
views
engineeringmathematics
calculus
linearalgebra
probability
preparation
+1
vote
2
answers
27
GATE 2016 EE SET 1
Let the eigenvalues of 2 x 2 matrix A be 1, 2 with eigenvectors x1 and x2 respectively. Then the eigenvalues and eigenvectors of the matrix A^2  3A+4I would respectively, be (a) 2,14; x1,x2 (b) 2,14; x1+x2:x1x2 (c) 2,0; x1, x2 (d) 2,0; x1+x2,x1x2
asked
May 2
in
Linear Algebra
by
Prateek K
Active
(
1.5k
points)

125
views
linearalgebra
gate2016ee2
eigenvalue
+1
vote
1
answer
28
Set system and linear algebra
We have $m$ sets $A_1,A_2,A_3 \text{ to } A_m$. All $A_i \subseteq [n]$ where $ [n] = \{1,2,3, \dots n \}.$ Given that $A_i = \text{odd number}$ and $A_i \cap A_j = \text{even number }\forall i \neq j$. Show that $m \leq n$.
asked
Apr 16
in
Set Theory & Algebra
by
Debashish Deka
Veteran
(
57.4k
points)

385
views
sets
linearalgebra
combinatoricsiitb
+1
vote
1
answer
29
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
(
98.4k
points)

101
views
linearalgebra
matrices
0
votes
1
answer
30
GATE2007 EE
Let $x$ and $y$ be two vectors in a $3$ dimensional space and $<x,y>$ denote their dot product. Then the determinant $det\begin{bmatrix}<x,x> & <x,y>\\ <y,x> & <y,y>\end{bmatrix}$ is zero when $x$ and $y$ are ... positive when $x$ and $y$ are linearly independent is nonzero for all nonzero $x$ and $y$ is zero only when either $x$ or $y$ is zero
asked
Mar 13
in
Linear Algebra
by
Aishwarya Gujrathi
Junior
(
511
points)

114
views
engineeringmathematics
linearalgebra
Page:
1
2
3
4
5
6
...
11
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
List of Available Exams
New Assignment on Network programming : P2P simulation
Theory of Computation  GO Classroom
Probability  GO Classroom
Daily Quiz
Follow @csegate
Gatecse
Recent questions tagged linearalgebra
Recent Blog Comments
Nice 2 know. You are welcome. :)
Hello @Arjun, I got books now...thanks for your...
You may contact FedEx local delivery office. It...
Yes you are right, it's showing this status from...
FedEx delivery is shown and as per that it is out...
40,903
questions
47,558
answers
146,288
comments
62,305
users