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Recent questions tagged linearalgebra
Webpage for Linear Algebra
0
votes
1
answer
1
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
1 day
ago
in
Linear Algebra
by
suparna kar
(
49
points)

14
views
gate20161
linearalgebra
eigenvalue
0
votes
0
answers
2
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)

11
views
engineeringmathematics
linearalgebra
matrices
matrix
0
votes
2
answers
3
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)

49
views
engineeringmathematics
linearalgebra
matrices
matrix
easy
0
votes
1
answer
4
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
(
17
points)

35
views
discretemathematics
permutationsandcombinations
settheory&algebra
mathematicallogic
linearalgebra
0
votes
1
answer
5
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)

68
views
linearalgebra
matrices
engineeringmathematics
eigenvalue
matrixinversion
0
votes
1
answer
6
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
(
97
points)

16
views
linearalgebra
eigenvalue
0
votes
3
answers
7
linear algebra
Let A be the 2 × 2 matrix with elements a11 = a12 = a21 = +1 and a22 = −1. Then the eigenvalues of the matrix A19 are (a) 1024 and−1024 (b) 1024√2 and −1024√2 (c) 4√2 and−4√2 (d) 512√2 and−512√2
asked
Jul 2
in
Mathematical Logic
by
suneetha
(
97
points)

32
views
linearalgebra
+1
vote
0
answers
8
Kenneth Rosen
where would i get solution or answers for exercise problem of discrete mathematics by Kenneth rosen and linear algebra by Gilbert strang?
asked
Jun 27
in
Mathematical Logic
by
Rishav Kumar Singh
Active
(
2.3k
points)

39
views
discretemathematics
linearalgebra
+1
vote
1
answer
9
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)

29
views
linearalgebra
engineeringmathematics
0
votes
0
answers
10
Gilbert Strang  Real Symmetric Matrices
asked
Jun 2
in
Linear Algebra
by
ankitgupta.1729
Loyal
(
6.6k
points)

40
views
linearalgebra
gilbertstrang
matrix
engineeringmathematics
0
votes
1
answer
11
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
(
677
points)

56
views
linearalgebra
gilbertstrang
matrix
0
votes
3
answers
12
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)

108
views
engineeringmathematics
linearalgebra
matrices
+1
vote
1
answer
13
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
(
92k
points)

88
views
linearalgebra
matrices
engineeringmathematics
0
votes
1
answer
14
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
(
111
points)

59
views
engineeringmathematics
linearalgebra
0
votes
1
answer
15
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
(
1.2k
points)

64
views
engineeringmathematics
linearalgebra
+1
vote
3
answers
16
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
(
92k
points)

206
views
linearalgebra
matrices
engineeringmathematics
0
votes
0
answers
17
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
(
92k
points)

159
views
linearalgebra
matrices
engineeringmathematics
0
votes
1
answer
18
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
(
351
points)

83
views
engineeringmathematics
calculus
linearalgebra
probability
preparation
0
votes
2
answers
19
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
(
1.4k
points)

106
views
linearalgebra
gate2016ee2
eigenvalue
+1
vote
1
answer
20
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
(
56.9k
points)

376
views
sets
linearalgebra
combinatoricsiitb
+1
vote
1
answer
21
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
(
92k
points)

96
views
linearalgebra
matrices
0
votes
1
answer
22
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
(
503
points)

103
views
engineeringmathematics
linearalgebra
0
votes
1
answer
23
GATE 2018 Maths  22(Electronics and Communication Engineering)
asked
Feb 21
in
Calculus
by
Lakshman Patel RJIT
Loyal
(
8k
points)

211
views
gate2018
engineeringmathematics
linearalgebra
matrices
normal
0
votes
2
answers
24
GATE 2018 Maths  44(Electrical Engineering)
asked
Feb 21
in
Linear Algebra
by
Lakshman Patel RJIT
Loyal
(
8k
points)

208
views
gate2018
engineeringmathematics
linearalgebra
easy
+10
votes
3
answers
25
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
+6
votes
4
answers
26
GATE201817
Consider a matrix $A= uv^T$ where $u=\begin{pmatrix}1 \\ 2 \end{pmatrix} , v = \begin{pmatrix}1 \\1 \end{pmatrix}$. Note that $v^T$ denotes the transpose of $v$. The largest eigenvalue of $A$ is ____
asked
Feb 14
in
Linear Algebra
by
gatecse
Boss
(
18.1k
points)

1.4k
views
gate2018
linearalgebra
eigenvalue
normal
numericalanswers
0
votes
0
answers
27
Eigen Vectors
I'm getting 2
asked
Feb 1
in
Linear Algebra
by
Pawan Kumar 2
Active
(
4.5k
points)

91
views
linearalgebra
+5
votes
2
answers
28
LU decomposition
asked
Jan 13
in
Linear Algebra
by
Lakshman Patel RJIT
Loyal
(
8k
points)

84
views
linearalgebra
matrices
+5
votes
1
answer
29
Eigen value
asked
Jan 13
in
Linear Algebra
by
Lakshman Patel RJIT
Loyal
(
8k
points)

130
views
engineeringmathematics
linearalgebra
matrix
eigenvalue
+5
votes
1
answer
30
matrix linearly independent and orthogonal
asked
Jan 12
in
Linear Algebra
by
Lakshman Patel RJIT
Loyal
(
8k
points)

71
views
linearalgebra
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