List questions from vector-spaces

Published on 29 Jan 2018 - 14:03

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Let $A$ be a $(n \times n)$ complex matrix, and for $C$ a $(1 \times n)$ row vector let $W = \{\sum_{j=0}^{n-1}a_jCA^j:j=0,\dots,n-1\}\;.$

Published on 23 Mar 2026 - 7:16

46

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proving identities of a vector space

Published on 22 Mar 2026 - 6:02

165

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Determine if set is linearly independent in folowing vector space

Published on 29 Jan 2018 - 18:51

378

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Different ways to prove a set is a subspace of $\mathbb R^n$

Published on 29 Jan 2018 - 20:58

59

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Proving that a basis exists for a vector Subspace

Published on 29 Jan 2018 - 22:09

92

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Continuous function satisfying axioms

Published on 30 Jan 2018 - 11:57

494

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Is every vector space a proper subspace of a larger vector space?

Published on 30 Jan 2018 - 18:34

93

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What is solution to this vector problem?

Published on 30 Jan 2018 - 21:32

88

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How to find third point of triangle with specific area?

Published on 30 Jan 2018 - 22:33

138

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The polynomials $X^k(X-1)^{n-k}$ form a basis of $\mathbb{R_n}[X]$

Published on 31 Jan 2018 - 2:51

223

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Prove $\mathbb{R}^n \cong \mathbb{R}$ as vector spaces over $\mathbb{Q}$

Published on 31 Jan 2018 - 3:31

808

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Vector space isomorphic to direct sum

Published on 21 Mar 2026 - 19:18

180

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Parametrize solution

Published on 31 Jan 2018 - 6:15

203

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Trying to find the dimension of a vector space...

Published on 22 Mar 2026 - 17:02

List Question

Necessary and sufficient condition: continuous map on semi-normed vector spaces

Let $A$ be a $(n \times n)$ complex matrix, and for $C$ a $(1 \times n)$ row vector let $W = \{\sum_{j=0}^{n-1}a_jCA^j:j=0,\dots,n-1\}\;.$

proving identities of a vector space

Determine if set is linearly independent in folowing vector space

Different ways to prove a set is a subspace of $\mathbb R^n$

Proving that a basis exists for a vector Subspace

Continuous function satisfying axioms

Is every vector space a proper subspace of a larger vector space?

What is solution to this vector problem?

How to find third point of triangle with specific area?

The polynomials $X^k(X-1)^{n-k}$ form a basis of $\mathbb{R_n}[X]$

Prove $\mathbb{R}^n \cong \mathbb{R}$ as vector spaces over $\mathbb{Q}$

Vector space isomorphic to direct sum

Parametrize solution

Trying to find the dimension of a vector space...

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