List questions from multilinear-algebra

Published on 03 Sep 2017 - 17:50

290

Views

Why is $e_1\wedge e_2\dots \wedge e_n \ne 0$ in $\wedge^n V$?

Published on 04 Sep 2017 - 2:37

138

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Using induction to prove an isomorphism to the set of continuous multilinear mappings

Published on 10 Sep 2017 - 16:42

480

Views

How to prove $\text{Sym}^{m}(\text{Sym}^{n}V) \cong \text{Sym}^{n}(\text{Sym}^{m}V)$?

Published on 12 Sep 2017 - 4:19

79

Views

Quadratic Forms in $k^n$ for a general field $k$

Published on 13 Sep 2017 - 16:41

670

Views

Is every antisymmetric k-linear transformation alternate?

Published on 17 Sep 2017 - 6:22

180

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Matrix representation of vector-valued function

Published on 21 Sep 2017 - 2:01

281

Views

The universal property of multilinear maps

Published on 22 Sep 2017 - 21:15

257

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Is the space of linear operators on a vector space $\mathcal{V}$ isomorphic to $\mathcal{V}\otimes\mathcal{V}^*$?

Published on 23 Sep 2017 - 9:26

244

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sum of a non singular symmetric matrix and the matrix of its eigenvalues is invertible

Published on 01 Oct 2017 - 11:48

596

Views

Finding the descedent direction at a point given the Hessian and gradient

Published on 04 Oct 2017 - 21:47

24

Views

Basis for the alternating vector space $\mathcal{B}(\mathbb{R}^2\times\mathbb{R}^2,\mathbb{C})$

Published on 06 Oct 2017 - 20:13

200

Views

Understanding complex forms and confusions

Published on 07 Oct 2017 - 20:57

532

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The Cyclic permutation on a tensor product space and its eigenvectors

Published on 08 Oct 2017 - 23:33

85

Views

Find $\mathbf{u} \cdot \mathbf{v}$, where $\mathbf{u} = \mathbf{e}^1 - \mathbf{e}^2 + \mathbf{e}^3 - \mathbf{e}^4$.

Published on 29 Mar 2026 - 11:20

List Question

Matrix multiplication as a matrix

Why is $e_1\wedge e_2\dots \wedge e_n \ne 0$ in $\wedge^n V$?

Using induction to prove an isomorphism to the set of continuous multilinear mappings

How to prove $\text{Sym}^{m}(\text{Sym}^{n}V) \cong \text{Sym}^{n}(\text{Sym}^{m}V)$?

Quadratic Forms in $k^n$ for a general field $k$

Is every antisymmetric k-linear transformation alternate?

Matrix representation of vector-valued function

The universal property of multilinear maps

Is the space of linear operators on a vector space $\mathcal{V}$ isomorphic to $\mathcal{V}\otimes\mathcal{V}^*$?

sum of a non singular symmetric matrix and the matrix of its eigenvalues is invertible

Finding the descedent direction at a point given the Hessian and gradient

Basis for the alternating vector space $\mathcal{B}(\mathbb{R}^2\times\mathbb{R}^2,\mathbb{C})$

Understanding complex forms and confusions

The Cyclic permutation on a tensor product space and its eigenvectors

Find $\mathbf{u} \cdot \mathbf{v}$, where $\mathbf{u} = \mathbf{e}^1 - \mathbf{e}^2 + \mathbf{e}^3 - \mathbf{e}^4$.

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