List questions from multilinear-algebra

Published on 26 Feb 2021 - 10:20

154

Views

$T(M \oplus N) = T(M) \otimes T(N) \otimes T(M) \otimes T(N)...$

Published on 01 Mar 2021 - 11:16

60

Views

Patterns of zeros in nonsingular $0,1$ matrices

Published on 05 Mar 2021 - 18:21

256

Views

Relationship between the Pfaffian and determinant from exterior algebra

Published on 22 Feb 2026 - 23:09

322

Views

Multilinear Forms as a Vector Space

Published on 12 Mar 2021 - 15:05

45

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Representing $n$-linear functions as some sort of array?

Published on 13 Mar 2021 - 13:43

91

Views

Prove that $\big[ι_{\vec v}(T)\big](\vec v_1,...,\vec v_{k-1}):=\sum_{r=1}^k(-1)^{r-1}T(\vec v_1,...,\vec v_{r-1},\vec v,\vec v_r,...,\vec v_{k-1})$

Published on 30 Mar 2026 - 14:12

361

Views

Double Hodge star property

Published on 27 Mar 2026 - 11:45

27

Views

Linear basis of the geometric algebra $\mathcal{G}_{2}$

Published on 06 Apr 2021 - 10:47

120

Views

Harder proof using tools from Category Theory rather than Set Theory

Published on 06 Apr 2021 - 17:54

45

Views

Exterior power of totally nonnegative square matrices

Published on 25 Mar 2026 - 11:02

71

Views

unique factorization of product of linear functionals

Published on 09 Apr 2021 - 6:22

167

Views

Generalizing the geometric interpretation of dot product to simple $k$-vectors

Published on 26 Mar 2026 - 17:35

76

Views

Correct definition of scalar triple product

Published on 14 Apr 2021 - 22:17

35

Views

extrior product of a square matrix

Published on 17 Apr 2021 - 15:26

List Question

What is the pullback of an alternating multilinear map

$T(M \oplus N) = T(M) \otimes T(N) \otimes T(M) \otimes T(N)...$

Patterns of zeros in nonsingular $0,1$ matrices

Relationship between the Pfaffian and determinant from exterior algebra

Multilinear Forms as a Vector Space

Representing $n$-linear functions as some sort of array?

Prove that $\big[ι_{\vec v}(T)\big](\vec v_1,...,\vec v_{k-1}):=\sum_{r=1}^k(-1)^{r-1}T(\vec v_1,...,\vec v_{r-1},\vec v,\vec v_r,...,\vec v_{k-1})$

Double Hodge star property

Linear basis of the geometric algebra $\mathcal{G}_{2}$

Harder proof using tools from Category Theory rather than Set Theory

Exterior power of totally nonnegative square matrices

unique factorization of product of linear functionals

Generalizing the geometric interpretation of dot product to simple $k$-vectors

Correct definition of scalar triple product

extrior product of a square matrix

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