List questions from multilinear-algebra

Published on 11 Jan 2014 - 18:14

121

Views

$b:V \times W \to \mathbb{R}$ bilinear. Show an induced $\phi:V \to W^*$ surjective.

Published on 13 Jan 2014 - 10:20

114

Views

How to show that $v_1\otimes\cdots\otimes v_k = 0$ if and only if at least one $v_i = 0$?

Published on 30 Jan 2014 - 20:28

71

Views

Tensor vector bundle construction

Published on 31 Jan 2014 - 15:56

830

Views

Is $(V_1\otimes\cdots\otimes V_k)^\ast \simeq V_1^\ast\otimes \cdots \otimes V_k^\ast$ true for infinite dimensional spaces?

Published on 04 Feb 2014 - 19:25

1k

Views

Tensor Einstein summation notation

Published on 06 Feb 2014 - 16:21

284

Views

Direct proof of non-flatness

Published on 09 Feb 2014 - 18:41

926

Views

$\{u_{i} \otimes w_{j} \}_{i , j}$ forms a basis for $U \otimes W$

Published on 10 Feb 2014 - 16:12

1.5k

Views

Exterior power and alternating forms: explicit computations

Published on 29 Mar 2026 - 7:37

2.7k

Views

Intuitively when to use the wedge product?

Published on 23 Feb 2014 - 0:37

245

Views

linear independent or dependent set - linear algebra

Published on 25 Feb 2014 - 6:08

508

Views

Why there is this relation between $k$-vectors and $k$-forms?

Published on 26 Feb 2014 - 17:58

372

Views

Geometry of $k$-forms and $k$-vectors

Published on 07 Mar 2014 - 16:03

175

Views

How to compute saddle point index using sourcing flow lines?

Published on 07 Mar 2014 - 18:35

2k

Views

Rank $1$ bilinear form is a product of two linear functionals on a finite dimensional vector space.

Published on 29 Mar 2026 - 4:57

List Question

Tensor Product definition (help with certain step)

$b:V \times W \to \mathbb{R}$ bilinear. Show an induced $\phi:V \to W^*$ surjective.

How to show that $v_1\otimes\cdots\otimes v_k = 0$ if and only if at least one $v_i = 0$?

Tensor vector bundle construction

Is $(V_1\otimes\cdots\otimes V_k)^\ast \simeq V_1^\ast\otimes \cdots \otimes V_k^\ast$ true for infinite dimensional spaces?

Tensor Einstein summation notation

Direct proof of non-flatness

$\{u_{i} \otimes w_{j} \}_{i , j}$ forms a basis for $U \otimes W$

Exterior power and alternating forms: explicit computations

Intuitively when to use the wedge product?

linear independent or dependent set - linear algebra

Why there is this relation between $k$-vectors and $k$-forms?

Geometry of $k$-forms and $k$-vectors

How to compute saddle point index using sourcing flow lines?

Rank $1$ bilinear form is a product of two linear functionals on a finite dimensional vector space.

Trending Questions

Popular # Hahtags

Popular Questions