Question

Sufficient conditions for the matrix to be invertible?

score 40 · Answer 1 · 2023-09-07 01:57:30

40

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Sufficient conditions for the matrix to be invertible?

Published on 07 Sep 2023 - 1:57

score 66 · Answer 2 · 2023-09-07 22:17:37

66

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What is the rank of $\sum_{i=1}^k \vec{u}_i \vec{v}_i^T$ with $\{ \vec{u}_i \}$ and $\{ \vec{v}_i \}$ each linearly independent.

Published on 07 Sep 2023 - 22:17

score 112 · Answer 3 · 2026-03-25 22:11:22

112

Views

Sufficient conditions for stabilizability of [A,B]

Published on 25 Mar 2026 - 22:11

score 27 · Answer 4 · 2023-09-12 19:43:32

27

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Determinant equal to zero for a special matrix

Published on 12 Sep 2023 - 19:43

score 33 · Answer 5 · 2023-09-14 10:18:23

33

Views

Parametrized matrix has rank $2$, find the parameters

Published on 14 Sep 2023 - 10:18

score 60 · Answer 6 · 2023-09-14 15:35:48

60

Views

Estimation of matrix rank ,$ \text{rank}(A) \geq \sum_\limits{i=1}^{n} \frac{a_{ii}^{2}}{\alpha_{i}^{T}\alpha_{i}} $

Published on 14 Sep 2023 - 15:35

score 39 · Answer 7 · 2023-09-21 14:29:01

39

Views

Representation of rank $d$ matrices with vectors

Published on 21 Sep 2023 - 14:29

score 28 · Answer 8 · 2026-03-28 16:26:23

28

Views

How to choose a vector which is linearly independent from a set of orthogonal vectors?

Published on 28 Mar 2026 - 16:26

score 57 · Answer 9 · 2026-03-29 14:29:57

57

Views

Product of matrices with only one nonzero entry on each column

Published on 29 Mar 2026 - 14:29

score 82 · Answer 10 · 2023-09-28 07:52:03

82

Views

Rank of $A^TBA$ when $A$ is a tall matrix and $B$ is positive definite

Published on 28 Sep 2023 - 7:52

score 34 · Answer 11 · 2023-09-29 07:28:53

34

Views

Rank of a matrix in trapezoidal form

Published on 29 Sep 2023 - 7:28

score 124 · Answer 12 · 2026-03-26 12:07:42

124

Views

about $\operatorname{tr}(A) = \operatorname{rank}(A)$ for idempotent matrix $A$

Published on 26 Mar 2026 - 12:07

score 20 · Answer 13 · 2023-10-01 03:24:11

20

Views

Rank of a matrix-valued function defined on a neighborhood of a point

Published on 01 Oct 2023 - 3:24

score 122 · Answer 14 · 2026-02-23 09:00:11

122

Views

Let A be a complex $n \times n$ matrix with rank(A) = 1. Why is the minimal polynomial $x(x-Tr(A))$?

Published on 23 Feb 2026 - 9:00

score 123 · Answer 15 · 2026-03-25 22:01:55

123

Views

Optimization with rank constraint

Published on 25 Mar 2026 - 22:01

List Question

Sufficient conditions for the matrix to be invertible?

What is the rank of $\sum_{i=1}^k \vec{u}_i \vec{v}_i^T$ with $\{ \vec{u}_i \}$ and $\{ \vec{v}_i \}$ each linearly independent.

Sufficient conditions for stabilizability of [A,B]

Determinant equal to zero for a special matrix

Parametrized matrix has rank $2$, find the parameters

Estimation of matrix rank ,$ \text{rank}(A) \geq \sum_\limits{i=1}^{n} \frac{a_{ii}^{2}}{\alpha_{i}^{T}\alpha_{i}} $

Representation of rank $d$ matrices with vectors

How to choose a vector which is linearly independent from a set of orthogonal vectors?

Product of matrices with only one nonzero entry on each column

Rank of $A^TBA$ when $A$ is a tall matrix and $B$ is positive definite

Rank of a matrix in trapezoidal form

about $\operatorname{tr}(A) = \operatorname{rank}(A)$ for idempotent matrix $A$

Rank of a matrix-valued function defined on a neighborhood of a point

Let A be a complex $n \times n$ matrix with rank(A) = 1. Why is the minimal polynomial $x(x-Tr(A))$?

Optimization with rank constraint

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