Question

Basis of infinite Vector Space $\mathbb R^{\infty}$

score 1.8k · Answer 1 · 2026-03-17 14:02:52

1.8k

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Basis of infinite Vector Space $\mathbb R^{\infty}$

Published on 17 Mar 2026 - 14:02

score 134 · Answer 2 · 2018-03-22 14:57:38

134

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Is the set $S$ of vectors linearly independent?

Published on 22 Mar 2018 - 14:57

score 124 · Answer 3 · 2026-03-22 21:06:11

124

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Are the dot products of all vector spherical harmonics complete?

Published on 22 Mar 2026 - 21:06

score 203 · Answer 4 · 2026-03-26 04:32:40

203

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Is it possible that there exists a non-bijective homomorphism between two isomorphic vector spaces or fields?

Published on 26 Mar 2026 - 4:32

score 30 · Answer 5 · 2018-03-23 14:53:56

30

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Get three vectors to form a base

Published on 23 Mar 2018 - 14:53

score 47 · Answer 6 · 2018-03-23 23:02:00

47

Views

How to reverse relation between vectors?

Published on 23 Mar 2018 - 23:02

score 604 · Answer 7 · 2018-03-24 08:32:06

604

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Prove that resultant vectors of a linear transformation forms a basis if it is invertible.

Published on 24 Mar 2018 - 8:32

score 2.2k · Answer 8 · 2018-03-24 11:53:38

2.2k

Views

Determine a basis for the set of vectors of the form (a,b,c), where a+b+c = 0.

Published on 24 Mar 2018 - 11:53

score 1.3k · Answer 9 · 2018-03-24 12:33:48

1.3k

Views

Complex numbers as vector spaces

Published on 24 Mar 2018 - 12:33

score 3.9k · Answer 10 · 2026-03-25 00:07:55

3.9k

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Dual basis of a vector space of polynomials

Published on 25 Mar 2026 - 0:07

score 41 · Answer 11 · 2018-03-24 19:27:28

41

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Vector spaces and orthonormal basis

Published on 24 Mar 2018 - 19:27

score 196 · Answer 12 · 2026-03-25 00:07:42

196

Views

If sequence of vector spaces is exact then the sequence of duals is also exact

Published on 25 Mar 2026 - 0:07

score 46 · Answer 13 · 2018-03-25 07:00:48

46

Views

Let $B$ be a non-empty set. Is it possible to construct a vector space $X$ whose the elements of its base are the elements of the set $B$?

Published on 25 Mar 2018 - 7:00

score 113 · Answer 14 · 2026-03-25 09:25:17

113

Views

Finding a vector that isn't in a set of subspaces

Published on 25 Mar 2026 - 9:25

score 171 · Answer 15 · 2018-03-25 12:41:53

171

Views

$(X,\|.\|)$ is a normed space over $\mathbb F$ field $M \subset X$ is a vector subspace of $X.$ If $M$ is open vector subspace of $X$, then $X=M$?

Published on 25 Mar 2018 - 12:41

List Question

Basis of infinite Vector Space $\mathbb R^{\infty}$

Is the set $S$ of vectors linearly independent?

Are the dot products of all vector spherical harmonics complete?

Is it possible that there exists a non-bijective homomorphism between two isomorphic vector spaces or fields?

Get three vectors to form a base

How to reverse relation between vectors?

Prove that resultant vectors of a linear transformation forms a basis if it is invertible.

Determine a basis for the set of vectors of the form (a,b,c), where a+b+c = 0.

Complex numbers as vector spaces

Dual basis of a vector space of polynomials

Vector spaces and orthonormal basis

If sequence of vector spaces is exact then the sequence of duals is also exact

Let $B$ be a non-empty set. Is it possible to construct a vector space $X$ whose the elements of its base are the elements of the set $B$?

Finding a vector that isn't in a set of subspaces

$(X,\|.\|)$ is a normed space over $\mathbb F$ field $M \subset X$ is a vector subspace of $X.$ If $M$ is open vector subspace of $X$, then $X=M$?

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