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Sonu
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5 votes
2 answers
407 views

Artin's Algebra 4.4.8 [duplicate]

3 votes
1 answer
236 views

Artin's Algebra $4.3.3$

3 votes
1 answer
898 views

Separability is not hereditary property

3 votes
1 answer
85 views

Problem on continuously differentiable function on (0, ∞)

3 votes
2 answers
173 views

Question from isi previous years

2 votes
0 answers
142 views

Dummit and Foote $2.4.20$, divisible group

1 vote
3 answers
582 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 $a=e$

1 vote
1 answer
87 views

Application of Stolz theorem.

1 vote
1 answer
473 views

Question asked in nbhm exam 2022

1 vote
1 answer
133 views

Find the possible values of rank...

1 vote
1 answer
139 views

Existence of real symmetric orthogonal matrix

1 vote
0 answers
57 views

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

1 vote
1 answer
426 views

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

0 votes
1 answer
695 views

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

0 votes
3 answers
93 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]

0 votes
0 answers
43 views

Vector space and linear maps

0 votes
1 answer
271 views

Question on equivalence classes on linear algebra

0 votes
1 answer
86 views

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

0 votes
1 answer
126 views

Question from ISI, previous years

0 votes
1 answer
58 views

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

0 votes
1 answer
130 views

Local base for indiscrete topology

0 votes
1 answer
32 views

Problems on bounded finite intervals.

0 votes
1 answer
54 views

Question from isi previous years question paper

-1 votes
1 answer
163 views

Artin's Algebra, Exercise 11.9.13 [duplicate]

-1 votes
1 answer
116 views

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

-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]

-1 votes
1 answer
60 views

Uniqueness of prime ideal

-3 votes
1 answer
106 views

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