List questions from vector-spaces

Published on 18 Jun 2018 - 11:19

254

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Why does the inner product require the base field be $\mathbb{R}$ or $\mathbb{C}$?

Published on 18 Jun 2018 - 13:17

70

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Vector Space -- Confusion

Published on 18 Jun 2018 - 13:39

1.1k

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Properties of matrices, including span , vectors and products

Published on 18 Jun 2018 - 18:19

106

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Determine whether $V:=\{x_1,x_2,x_3\in\mathbb{R}^3|2x_1+5x_2=x_3 \}$ is a subspace of $\mathbb{R}^3$

Published on 18 Jun 2018 - 18:32

5.5k

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Determine whether the following sets are subspaces of $\mathbb{R}^3$

Published on 18 Jun 2018 - 19:25

57

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Statements on calculus and linear algebra

Published on 18 Jun 2018 - 21:33

529

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On the definition of a vector field on manifolds.

Published on 26 Mar 2026 - 21:26

133

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Linearity of an additive and linearly homogeneous function on the positive orthant

Published on 18 Jun 2018 - 22:00

53

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Vector Space coverage question

Published on 19 Jun 2018 - 2:38

1.1k

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Dimension of the span

Published on 19 Jun 2018 - 8:35

371

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Is it possible to have a linear transformation from a complex vector space to a real one?

Published on 26 Mar 2026 - 16:05

68

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If $x,y \in \mathbb{C}^m$ prove $x^*y = \|x\|_2\|y\|_2 \cos \alpha$

Published on 19 Jun 2018 - 21:59

136

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Subspace of singular multivariate normal distribution

Published on 25 Mar 2026 - 14:19

2.2k

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Can any 3 Linearly Independent Vectors in $\Bbb R^3$ be the basis for $\Bbb R^3$? If yes, prove it.

Published on 20 Jun 2018 - 10:32

List Question

Finding a basis $\mathbb{R}_2$ of eigenvectors

Why does the inner product require the base field be $\mathbb{R}$ or $\mathbb{C}$?

Vector Space -- Confusion

Properties of matrices, including span , vectors and products

Determine whether $V:=\{x_1,x_2,x_3\in\mathbb{R}^3|2x_1+5x_2=x_3 \}$ is a subspace of $\mathbb{R}^3$

Determine whether the following sets are subspaces of $\mathbb{R}^3$

Statements on calculus and linear algebra

On the definition of a vector field on manifolds.

Linearity of an additive and linearly homogeneous function on the positive orthant

Vector Space coverage question

Dimension of the span

Is it possible to have a linear transformation from a complex vector space to a real one?

If $x,y \in \mathbb{C}^m$ prove $x^*y = \|x\|_2\|y\|_2 \cos \alpha$

Subspace of singular multivariate normal distribution

Can any 3 Linearly Independent Vectors in $\Bbb R^3$ be the basis for $\Bbb R^3$? If yes, prove it.

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