Question

rank of permutation bundle

score 85 · Answer 1 · 2023-02-09 14:03:34

85

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rank of permutation bundle

Published on 09 Feb 2023 - 14:03

score 49 · Answer 2 · 2026-03-26 23:11:07

49

Views

How to get the rank of a perturbed adjacency matrix by adding x edges into the graph

Published on 26 Mar 2026 - 23:11

score 281 · Answer 3 · 2023-02-12 22:18:22

281

Views

If rank(A) = 3 and rank(B) = 3 for two 3x3 matrices, is it possible for rank(AB) to be less than 3?

Published on 12 Feb 2023 - 22:18

score 123 · Answer 4 · 2026-03-30 03:39:13

123

Views

Given a set of orthogonal, symmetric, rank-1 matrices, can the set be completed with additional rank-1 matrices to form a basis for symmetric matrices

Published on 30 Mar 2026 - 3:39

score 94 · Answer 5 · 2026-03-25 23:36:55

94

Views

Show that there exists $A$ $(n×n)$ matrix with complex entries such that...

Published on 25 Mar 2026 - 23:36

score 136 · Answer 6 · 2026-03-26 01:12:17

136

Views

Show that $\operatorname{rank}(A)=\operatorname{rank}(A^{k})$ for every $k\geq1$ if and only if there exists $m\geq2$ such that $A^{m}=A$

Published on 26 Mar 2026 - 1:12

score 112 · Answer 7 · 2026-03-26 01:11:03

112

Views

The rank of the characteristic polynomial of a $\lambda$-matrix

Published on 26 Mar 2026 - 1:11

score 240 · Answer 8 · 2026-03-26 17:31:46

240

Views

Best rank-$1$ approximation of matrix with condition.

Published on 26 Mar 2026 - 17:31

score 78 · Answer 9 · 2023-03-01 13:41:27

What happens when we have a rank-deficient coefficient matrix of over-determined system but the rank of augmented equals the number of variables?

score 80 · Answer 10 · 2026-03-25 22:03:47

80

Views

How to prove Hadamard product rank upper bound hold?

Published on 25 Mar 2026 - 22:03

score 73 · Answer 11 · 2023-03-02 19:03:48

73

Views

A question on injective linear maps

Published on 02 Mar 2023 - 19:03

score 391 · Answer 12 · 2023-03-04 16:44:02

391

Views

Missing step in this proof of $\operatorname{rank}(A+B) \leq \operatorname{rank}A + \operatorname*{rank}B$

Published on 04 Mar 2023 - 16:44

score 115 · Answer 13 · 2023-03-05 23:05:25

115

Views

Solution existence of general multivariable quadratic equations

Published on 05 Mar 2023 - 23:05

score 153 · Answer 14 · 2023-03-05 23:43:11

153

Views

If $Rank(A^2) = Rank(A)$, then $Rank(A^3) = Rank(A)$, where $A \in \mathbb R^{n\times n}$

Published on 05 Mar 2023 - 23:43

score 383 · Answer 15 · 2026-03-27 14:30:44

383

Views

Generalisation of Baker–Campbell–Hausdorff (Matrix exponential simplification)

Published on 27 Mar 2026 - 14:30

List Question

rank of permutation bundle

How to get the rank of a perturbed adjacency matrix by adding x edges into the graph

If rank(A) = 3 and rank(B) = 3 for two 3x3 matrices, is it possible for rank(AB) to be less than 3?

Given a set of orthogonal, symmetric, rank-1 matrices, can the set be completed with additional rank-1 matrices to form a basis for symmetric matrices

Show that there exists $A$ $(n×n)$ matrix with complex entries such that...

Show that $\operatorname{rank}(A)=\operatorname{rank}(A^{k})$ for every $k\geq1$ if and only if there exists $m\geq2$ such that $A^{m}=A$

The rank of the characteristic polynomial of a $\lambda$-matrix

Best rank-$1$ approximation of matrix with condition.

What happens when we have a rank-deficient coefficient matrix of over-determined system but the rank of augmented equals the number of variables?

How to prove Hadamard product rank upper bound hold?

A question on injective linear maps

Missing step in this proof of $\operatorname{rank}(A+B) \leq \operatorname{rank}A + \operatorname*{rank}B$

Solution existence of general multivariable quadratic equations

If $Rank(A^2) = Rank(A)$, then $Rank(A^3) = Rank(A)$, where $A \in \mathbb R^{n\times n}$

Generalisation of Baker–Campbell–Hausdorff (Matrix exponential simplification)

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