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
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 linearalgebra
Webpage for Linear Algebra
+2
votes
1
answer
1
Ace test series
asked
5 days
ago
in
Linear Algebra
by
abhishekmehta4u
Boss
(
24.3k
points)

30
views
linearalgebra
+1
vote
0
answers
2
Self Doubt
Relation between rank and number of nonzero eigenvalues of a matrix If Rank of n X n matrix is r, then number of non zero eigen values ?? In either of cases det(A) = 0 or if det(A) not equal 0
asked
Nov 29
in
Linear Algebra
by
jatin khachane 1
Active
(
3.2k
points)

23
views
engineeringmathematics
linearalgebra
0
votes
0
answers
3
Matrices
The number of binary matrices of order $N*N$ whose determinant is exactly zero.
asked
Nov 29
in
Linear Algebra
by
HeadShot
Active
(
3.5k
points)

25
views
linearalgebra
0
votes
1
answer
4
Gilbert_Strang_LU_Decomposition
For which numbers c is $A=LU$ impossible? $\begin{bmatrix} 1 & 2 &0 \\ 3 & c &1 \\ 0 &1 &1 \end{bmatrix}$
asked
Nov 18
in
Linear Algebra
by
Ayush Upadhyaya
Boss
(
18.8k
points)

67
views
linearalgebra
0
votes
1
answer
5
Cases when LU decomposition is possible.
asked
Nov 18
in
Linear Algebra
by
Ayush Upadhyaya
Boss
(
18.8k
points)

64
views
linearalgebra
matrices
0
votes
0
answers
6
Linear AlgebraMETest
If the determinant of the below matrix is 245, what is the value of X? $\begin{bmatrix} 0 & 4& 2 &1 \\ 3& 1 & 0 & 2\\ 5&2 & x& 4\\ 6& 1 & 1 & 0 \end{bmatrix}$ ... , because by keeping 6 in place of x I am getting determinant as 245(Result verified by computer program). Please let me know where I am going wrong?
asked
Nov 17
in
Linear Algebra
by
Ayush Upadhyaya
Boss
(
18.8k
points)

66
views
linearalgebra
engineeringmathematics
0
votes
0
answers
7
#math combat
If $A$ is $2\times 2$ matrix ,eigen value is $1,2$ and corresponding eigen vector $[1,2]^{T}$ and $[9,1]^{T}$.find sum of element of the matrix $A.$
asked
Nov 15
in
Linear Algebra
by
amit166
Junior
(
529
points)

43
views
engineeringmathematics
linearalgebra
eigenvalue
+1
vote
1
answer
8
Linear Algebra_25
Let AX=B be a system of n linear equations in n unknown with integer coefficient and the components of B are all integer. Consider the following (1)det(A)=1 (2)det(A)=0 (3)Solution X has integer entries (4)Solution X does not have all integer entries For the given system ... then 3 holds true (c)If 1, then 4 holds true (d)If 2, then 3 holds true I think (d) should be the answer.
asked
Nov 15
in
Linear Algebra
by
Ayush Upadhyaya
Boss
(
18.8k
points)

64
views
linearalgebra
engineeringmathematics
systemofequations
0
votes
0
answers
9
#books q
the number of algebric terms in expansion of a determinant of order 5 is
asked
Nov 13
in
Linear Algebra
by
amit166
Junior
(
529
points)

31
views
linearalgebra
+1
vote
1
answer
10
Eigen Vector
asked
Nov 7
in
Linear Algebra
by
Na462
Loyal
(
7.4k
points)

151
views
eigenvalue
linearalgebra
0
votes
0
answers
11
GATEME2016
asked
Nov 6
in
Linear Algebra
by
aditi19
Active
(
2.1k
points)

53
views
gate20161
linearalgebra
matrices
eigenvalue
0
votes
1
answer
12
linear algebra
The Eigen Vectors of the Matrix $A=\begin{bmatrix} 3 &4 \\ 4 &3 \end{bmatrix}$ are $\begin{bmatrix} a\\ 1 \end{bmatrix},\begin{bmatrix} 1\\ b \end{bmatrix}$ the $a+b=?$ Answer is given (a+b)=0 how ?????
asked
Oct 30
in
Linear Algebra
by
altamash
(
313
points)

37
views
engineeringmathematics
linearalgebra
eigenvectors
0
votes
0
answers
13
self doubt
which method is used for solving equation as shown in image
asked
Oct 29
in
Linear Algebra
by
kd.....
(
481
points)

22
views
linearalgebra
0
votes
0
answers
14
Eigen Vector
asked
Oct 26
in
Linear Algebra
by
Na462
Loyal
(
7.4k
points)

29
views
eigenvalue
linearalgebra
engineeringmathematics
0
votes
0
answers
15
Eigen Values(Matrix is not idempotent)
Given that a matrix $A_{3\times3},$which is not idempotent matrix.And $A^{3}=A.$ Then find them, $1)$ Eigen Values $2)$ Trace of the matrix$=$Sum of Leading Diagonal Elements$=\sum a_{ij},$ where $i=j$ $3)Det(A)$
asked
Oct 25
in
Linear Algebra
by
Lakshman Patel RJIT
Boss
(
20k
points)

40
views
engineeringmathematics
linearalgebra
eigenvalue
0
votes
1
answer
16
Rank of the matrix
Given that a matrix $[A]_{4\times4},$any one row/column is dependent on the others, and given matrix are singular matrix$(A=0)$. And another matrix $B=adj(A),$then find them, $1)$Rank of the matrix $B$ $2)$Rank of the marix $adj(B)$
asked
Oct 25
in
Linear Algebra
by
Lakshman Patel RJIT
Boss
(
20k
points)

48
views
engineeringmathematics
linearalgebra
rankofmatrix
0
votes
0
answers
17
Linear algebra
Given that the matrix $A=\begin{bmatrix} a_{11} &a_{12} \\ a_{21} &a_{22} \end{bmatrix}$ and Eigen value are $1,2$ and Corresponding Eigen Vectors are $X_{1}=\begin{bmatrix} 1\\2 \end{bmatrix}$ and $X_{2}=\begin{bmatrix} 9\\1 \end{bmatrix}$ Find the $1)\sum a_{ij},$when $i=j$ $2)Det(A)$ $3)$Sum of all Elements in the given matrix
asked
Oct 25
in
Linear Algebra
by
Lakshman Patel RJIT
Boss
(
20k
points)

49
views
engineeringmathematics
linearalgebra
eigenvalue
0
votes
0
answers
18
System of Equations
My solution: Since the Determinant of matrix is Zero. So it will posses non trivial solution. Now what should be the answer ? According to me Option D as rank is < Order so infinite number of solutions
asked
Oct 25
in
Linear Algebra
by
Na462
Loyal
(
7.4k
points)

45
views
linearalgebra
engineeringmathematics
systemofequations
+2
votes
1
answer
19
Linear algebra
For matrix $p=\begin{bmatrix} 3 &2 &2 \\ 0 &2 &1 \\ 0& 0 & 1 \end{bmatrix}$if one of the eigen values is equal to – 2, then which of the following is an eigen vector? (a) [ 3 −2 1 ] (b) [ −3 2 −1 ] (c) [ 1 −2 3 ] (d) [ 5 2 0 ]
asked
Oct 21
in
Linear Algebra
by
sahil_malik
(
265
points)

147
views
matrix
linearalgebra
0
votes
0
answers
20
Linear algebra
A2 − A = 0, where A is a 9×9 matrix. Then (a) A must be a zero matrix (b) A is an identity matrix (c) rank of A is 1 or 0 (d) A is diagonalizable
asked
Oct 20
in
Linear Algebra
by
sahil_malik
(
265
points)

22
views
linearalgebra
+1
vote
1
answer
21
number of linearly indendent eigen vectors
asked
Oct 14
in
Linear Algebra
by
MIRIYALA JEEVAN KUMA
Active
(
2.3k
points)

70
views
linearalgebra
eigenvalue
0
votes
0
answers
22
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
(
2.3k
points)

44
views
linearalgebra
engineeringmathematics
eigenvalue
+1
vote
1
answer
23
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
(
29.5k
points)

162
views
linearalgebra
eigenvalue
0
votes
0
answers
24
Which books are good to practice linear algebra and calculas?
asked
Oct 1
in
GATE
by
aditi19
Active
(
2.1k
points)

15
views
linearalgebra
calculus
numericalmethods
0
votes
1
answer
25
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
(
29.5k
points)

59
views
linearalgebra
engineeringmathematics
systemofequations
0
votes
1
answer
26
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
(
29.5k
points)

50
views
linearalgebra
systemofequations
0
votes
1
answer
27
Linear system of equations
asked
Sep 16
in
Linear Algebra
by
Na462
Loyal
(
7.4k
points)

36
views
engineeringmathematics
linearalgebra
systemofequations
0
votes
1
answer
28
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
(
121
points)

38
views
engineeringmathematics
linearalgebra
0
votes
0
answers
29
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
(
121
points)

61
views
gate20161
linearalgebra
eigenvalue
0
votes
0
answers
30
Invertible Matrix
Let $A$ be a nilpotent matrix. Show that $I + A$ is invertible.
asked
Aug 8
in
Linear Algebra
by
pankaj_vir
Loyal
(
9.7k
points)

51
views
engineeringmathematics
linearalgebra
matrices
matrix
Page:
1
2
3
4
5
6
...
12
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
IIT HYDERABAD M.Tech (RA) 3Years Winter Session Interview experience
INDIAN AIR FORCE
GATE BOOK _ TEST SERIES DOUBT_
Visualizing complex C code
GATE Book Test Series
Follow @csegate
Gatecse
Recent questions tagged linearalgebra
Recent Blog Comments
There is one more problem. Ppl who have...
CL013924707IN rt?
I ordered the GO BOOK 6 dec ....but still i didnt...
thankyou sir
44,253
questions
49,749
answers
164,088
comments
65,845
users