User Sonu

5 votes

2 answers

403 views

Artin's Algebra 4.4.8 [duplicate]

asked May 6, 2022 at 3:14

3 votes

1 answer

218 views

Artin's Algebra $4.3.3$

asked May 6, 2022 at 2:13

3 votes

1 answer

798 views

Separability is not hereditary property

asked Jun 12, 2021 at 5:30

3 votes

1 answer

83 views

Problem on continuously differentiable function on (0, ∞)

asked May 4, 2022 at 9:03

3 votes

2 answers

171 views

Question from isi previous years

asked May 4, 2022 at 16:39

2 votes

0 answers

142 views

Dummit and Foote $2.4.20$, divisible group

asked May 5, 2022 at 2:44

1 vote

3 answers

494 views

Let $G$ be a group and if $a,b \in G$ such that $a^4 =e$ and $a^2 b=ba$ then prove that $a=e$

asked Jun 1, 2021 at 3:11

1 vote

1 answer

81 views

Application of Stolz theorem.

asked May 7, 2022 at 13:20

1 vote

1 answer

265 views

Question asked in nbhm exam 2022

asked Mar 27 at 4:08

1 vote

1 answer

302 views

Every matrix that commutes with $A \in \Bbb C^{n \times n}$ is a polynomial in $A$

asked Mar 27 at 10:21

1 vote

1 answer

417 views

A linear transformation is open map if and only if surjective and closed map if and only if injective

asked Apr 2 at 12:30

1 vote

1 answer

109 views

Find the possible values of rank...

asked Apr 3 at 2:58

1 vote

1 answer

128 views

Existence of real symmetric orthogonal matrix

asked Apr 20 at 5:40

1 vote

0 answers

53 views

Span{D^k x:0≤k≤n-1}=ℝⁿ if and only if eigen values of D are distinct

asked May 2 at 2:31

0 votes

1 answer

209 views

Question on equivalence classes on linear algebra

asked Mar 27 at 9:15

0 votes

3 answers

76 views

Let $p$ and $q$ be two primes such that $p≠q$ and $6|(p + q)$. Then $(p²+q²)$ is not divisible by 6 [duplicate]

asked Mar 29 at 7:50

0 votes

0 answers

42 views

Vector space and linear maps

asked Mar 30 at 3:34

0 votes

1 answer

83 views

Find the number of abelian subgroups with order $15$ in symmetric group of degree $8$.

asked Sep 9, 2022 at 4:45

0 votes

0 answers

47 views

Compute the homology group of S¹ by choosing a suitable triangulation.

asked Nov 29, 2022 at 5:37

0 votes

0 answers

95 views

Book reference for functional analysis

asked Jan 16 at 7:14

0 votes

1 answer

125 views

Question from ISI, previous years

asked May 6, 2022 at 11:52

0 votes

1 answer

50 views

Artin's Algebra problem no-9 in Miscellaneous part of chapter 4

asked May 6, 2022 at 4:20

0 votes

1 answer

124 views

Local base for indiscrete topology

asked Jun 5, 2021 at 17:45

0 votes

1 answer

32 views

Problems on bounded finite intervals.

asked May 4, 2022 at 5:12

0 votes

1 answer

54 views

Question from isi previous years question paper

asked May 4, 2022 at 12:26

-1 votes

1 answer

161 views

Artin's Algebra, Exercise 11.9.13 [duplicate]

asked May 6, 2022 at 4:42

-1 votes

1 answer

95 views

Show that all eigenvalues of the matrix $AB$ are real

asked Mar 30 at 5:07

-1 votes

1 answer

54 views

Uniqueness of prime ideal

asked Mar 29 at 6:17

-1 votes

1 answer

45 views

Let $A$ be an $m \times n$ matrix of rank $1$ and $G$ be an $n \times m$ matrix such that $AGA = A$. Show that the trace of $AG$ is $1$. [closed]

asked May 2 at 7:04

-3 votes

1 answer

103 views

Prove that $[0,2)∪\{2 +1/n:n ∈ ℕ\}$ is connected. [closed]

asked Mar 30 at 13:49

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30 Questions

Artin's Algebra 4.4.8 [duplicate]

Artin's Algebra $4.3.3$

Separability is not hereditary property

Problem on continuously differentiable function on (0, ∞)

Question from isi previous years

Dummit and Foote $2.4.20$, divisible group

Let $G$ be a group and if $a,b \in G$ such that $a^4 =e$ and $a^2 b=ba$ then prove that $a=e$

Application of Stolz theorem.

Question asked in nbhm exam 2022

Every matrix that commutes with $A \in \Bbb C^{n \times n}$ is a polynomial in $A$

A linear transformation is open map if and only if surjective and closed map if and only if injective

Find the possible values of rank...

Existence of real symmetric orthogonal matrix

Span{D^k x:0≤k≤n-1}=ℝⁿ if and only if eigen values of D are distinct

Question on equivalence classes on linear algebra

Let $p$ and $q$ be two primes such that $p≠q$ and $6|(p + q)$. Then $(p²+q²)$ is not divisible by 6 [duplicate]

Vector space and linear maps

Find the number of abelian subgroups with order $15$ in symmetric group of degree $8$.

Compute the homology group of S¹ by choosing a suitable triangulation.

Book reference for functional analysis

Question from ISI, previous years

Artin's Algebra problem no-9 in Miscellaneous part of chapter 4

Local base for indiscrete topology

Problems on bounded finite intervals.

Question from isi previous years question paper

Artin's Algebra, Exercise 11.9.13 [duplicate]

Show that all eigenvalues of the matrix $AB$ are real

Uniqueness of prime ideal

Let $A$ be an $m \times n$ matrix of rank $1$ and $G$ be an $n \times m$ matrix such that $AGA = A$. Show that the trace of $AG$ is $1$. [closed]

Prove that $[0,2)∪\{2 +1/n:n ∈ ℕ\}$ is connected. [closed]