Question

Prove that $3 \times 3$ matrices under certain conditions form a group

score 462 · Answer 1 · 2026-05-05 20:11:26

462

Views

Prove that $3 \times 3$ matrices under certain conditions form a group

Published on 05 May 2026 - 20:11

score 939 · Answer 2 · 2026-04-29 20:18:34

939

Views

Appending TU matrix with the identity or zero matrix still give us another TU matrix.

Published on 29 Apr 2026 - 20:18

score 40 · Answer 3 · 2026-05-04 14:34:59

40

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Parametrization of all unimodular matrices of rank $n$?

Published on 04 May 2026 - 14:34

score 178 · Answer 4 · 2020-06-29 15:56:34

178

Views

Can every symmetric, unimodular and positive definite $G\in\mathbb{Z}^{n\times n}$ be written as $G=U^TU$?

Published on 29 Jun 2020 - 15:56

score 389 · Answer 5 · 2020-07-07 21:52:32

389

Views

Proof of Hoffman & Kruskal's theorem on Unimodularity and Integrality.

Published on 07 Jul 2020 - 21:52

score 56 · Answer 6 · 2026-03-25 08:10:55

56

Views

Consider the matrix {1, -1; 1 -1}. If I multiply first row by -1, it loses the total unimodular property.

Published on 25 Mar 2026 - 8:10

score 680 · Answer 7 · 2026-03-25 08:08:00

680

Views

Can we have an integer polytope when $A$ is not totally unimodular and $b$ is an integer vector?

Published on 25 Mar 2026 - 8:08

score 748 · Answer 8 · 2026-03-25 08:08:33

748

Views

Is this block matrix also totally unimodular?

Published on 25 Mar 2026 - 8:08

score 736 · Answer 9 · 2026-03-25 08:09:21

736

Views

When is the adjacency matrix of a simple undirected graph totally unimodular?

Published on 25 Mar 2026 - 8:09

score 273 · Answer 10 · 2026-03-25 09:48:38

273

Views

Totally unimodular matrix in norm minimization

Published on 25 Mar 2026 - 9:48

score 21 · Answer 11 · 2026-03-25 08:08:56

21

Views

Unimodular matrices $M_{E_8}$ and $M_{\operatorname{Spin}(32)/\mathbb{Z}_2}$

Published on 25 Mar 2026 - 8:08

score 361 · Answer 12 · 2026-03-25 08:09:41

361

Views

On the definition of totally unimodular matrix

Published on 25 Mar 2026 - 8:09

score 59 · Answer 13 · 2026-03-25 08:13:37

59

Views

Show that if $f_1(1+xy+x^4)+f_2(y^2+x-1)+f_3(xy-1)=1$ in $k[x,y]$ no $f_i$ can be a nonzero element of $k$.

Published on 25 Mar 2026 - 8:13

score 663 · Answer 14 · 2026-03-25 08:12:54

663

Views

Prove that a certain block combination of totally unimodular matrices is totally unimodular

Published on 25 Mar 2026 - 8:12

score 705 · Answer 15 · 2026-03-25 08:08:59

705

Views

Total unimodularity and partition of the rows

Published on 25 Mar 2026 - 8:08

List Question

Prove that $3 \times 3$ matrices under certain conditions form a group

Appending TU matrix with the identity or zero matrix still give us another TU matrix.

Parametrization of all unimodular matrices of rank $n$?

Can every symmetric, unimodular and positive definite $G\in\mathbb{Z}^{n\times n}$ be written as $G=U^TU$?

Proof of Hoffman & Kruskal's theorem on Unimodularity and Integrality.

Consider the matrix {1, -1; 1 -1}. If I multiply first row by -1, it loses the total unimodular property.

Can we have an integer polytope when $A$ is not totally unimodular and $b$ is an integer vector?

Is this block matrix also totally unimodular?

When is the adjacency matrix of a simple undirected graph totally unimodular?

Totally unimodular matrix in norm minimization

Unimodular matrices $M_{E_8}$ and $M_{\operatorname{Spin}(32)/\mathbb{Z}_2}$

On the definition of totally unimodular matrix

Show that if $f_1(1+xy+x^4)+f_2(y^2+x-1)+f_3(xy-1)=1$ in $k[x,y]$ no $f_i$ can be a nonzero element of $k$.

Prove that a certain block combination of totally unimodular matrices is totally unimodular

Total unimodularity and partition of the rows

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