List questions from multilinear-algebra

Published on 01 Sep 2020 - 6:26

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Prove that $\sum_{j=1}^r a_j\otimes b_j=0\Rightarrow b_j=0$ where $\{a_j\}$ is linearly independent?

Published on 07 Sep 2020 - 12:10

326

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Greub, Multilinear Algebra, Notation

Published on 08 Sep 2020 - 12:32

44

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Best motivation for an antisymmetric product to get the area between vectors

Published on 15 Sep 2020 - 19:38

683

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Covariant derivatives are tensors?

Published on 26 Mar 2026 - 4:32

336

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A doubt on Tensors: Can they be 1-form valued?

Published on 23 Sep 2020 - 0:37

54

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Checking a maps is good is a maps

Published on 24 Sep 2020 - 14:08

193

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Showing equivalence between definitions of a quadratic form

Published on 05 Oct 2020 - 4:48

127

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Properties of k-linear form

Published on 13 Oct 2020 - 18:32

115

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How to transform a general polynomial function into a multilinear function?

Published on 14 Oct 2020 - 9:45

52

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Cross-sections in subsets of $\mathbb{R}^N$?

Published on 14 Oct 2020 - 12:51

41

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What is the name of this multiplicative tensor operation that can retrieve components?

Published on 14 Oct 2020 - 16:47

178

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Are there any non-discrete definitions for the size of a matrix?

Published on 29 Oct 2020 - 22:29

86

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$\sum_{i_{K+1},...,i_N=1}^N ε^{i_1,...,i_K,i_{K+1},...,i_N}δ^{j_{K+1},...j_N}_{i_{K+1},...,i_N}=(N-K)!ε^{i_1,...,i_K,j_{K+1},...,j_N}$

Published on 25 Mar 2026 - 12:50

48

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Notation for functions of a Grassman variable

Published on 10 Nov 2020 - 19:36

List Question

A generalization of othogonal matrix to high order.

Prove that $\sum_{j=1}^r a_j\otimes b_j=0\Rightarrow b_j=0$ where $\{a_j\}$ is linearly independent?

Greub, Multilinear Algebra, Notation

Best motivation for an antisymmetric product to get the area between vectors

Covariant derivatives are tensors?

A doubt on Tensors: Can they be 1-form valued?

Checking a maps is good is a maps

Showing equivalence between definitions of a quadratic form

Properties of k-linear form

How to transform a general polynomial function into a multilinear function?

Cross-sections in subsets of $\mathbb{R}^N$?

What is the name of this multiplicative tensor operation that can retrieve components?

Are there any non-discrete definitions for the size of a matrix?

$\sum_{i_{K+1},...,i_N=1}^N ε^{i_1,...,i_K,i_{K+1},...,i_N}δ^{j_{K+1},...j_N}_{i_{K+1},...,i_N}=(N-K)!ε^{i_1,...,i_K,j_{K+1},...,j_N}$

Notation for functions of a Grassman variable

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