Question

Rank of the element-wise square of a matrix

score 596 · Answer 1 · 2019-02-20 18:17:35

596

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Rank of the element-wise square of a matrix

Published on 20 Feb 2019 - 18:17

score 69 · Answer 2 · 2019-02-21 17:10:42

69

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Is the rank of a matrix with coefficients $\{-1,0,1\}$ the same as the rank of the matrix with coefficients in $GF(3)$?

Published on 21 Feb 2019 - 17:10

score 121 · Answer 3 · 2019-02-21 20:26:00

121

Views

Let $A,B\in\mathbb{C}^{n\times n}$ be such that $A^B=B^A$. Show that $\text{rank} (A,B)=n$ iff $\det(B+i A)\neq0$

Published on 21 Feb 2019 - 20:26

score 85 · Answer 4 · 2026-03-25 14:24:35

85

Views

Convex polygon inscribed in a circle with vertices that create matrix. Prove that the rank of this matrix is less or equal 2.

Published on 25 Mar 2026 - 14:24

score 47 · Answer 5 · 2019-02-28 02:57:52

47

Views

How to prove rank(A+) is no more than rank(A)?

Published on 28 Feb 2019 - 2:57

score 27 · Answer 6 · 2019-02-28 03:25:09

27

Views

How to prove $rank(A^+)$ is no more than rank(A)?

Published on 28 Feb 2019 - 3:25

score 162 · Answer 7 · 2019-03-07 02:59:37

162

Views

$|\text{rank}A-\text{rank}B|\leq \text{rank}(A+B)$

Published on 07 Mar 2019 - 2:59

score 72 · Answer 8 · 2026-03-25 11:06:22

72

Views

Rank of block matrix with equal diagonals

Published on 25 Mar 2026 - 11:06

score 49 · Answer 9 · 2019-03-08 09:56:33

49

Views

Nullity and Rank of Matrix

Published on 08 Mar 2019 - 9:56

score 311 · Answer 10 · 2019-03-08 11:55:05

311

Views

Two matrices whose product is equal to the identity matrix

Published on 08 Mar 2019 - 11:55

score 299 · Answer 11 · 2019-03-08 15:39:26

299

Views

Rank of a matrix over field extension.

Published on 08 Mar 2019 - 15:39

score 9.2k · Answer 12 · 2019-03-09 16:09:08

9.2k

Views

The "range" and "image" of a transformation refer to the same thing, right?

Published on 09 Mar 2019 - 16:09

score 32 · Answer 13 · 2019-03-11 12:01:12

32

Views

Equality of Ranks

Published on 11 Mar 2019 - 12:01

score 898 · Answer 14 · 2019-03-11 22:58:52

898

Views

If rank of a given matrix of order $3 \times 4$ is $2$ then the value of $b$ is

Published on 11 Mar 2019 - 22:58

score 1.2k · Answer 15 · 2026-03-25 19:03:24

1.2k

Views

Rank of covariance matrix

Published on 25 Mar 2026 - 19:03

List Question

Rank of the element-wise square of a matrix

Is the rank of a matrix with coefficients $\{-1,0,1\}$ the same as the rank of the matrix with coefficients in $GF(3)$?

Let $A,B\in\mathbb{C}^{n\times n}$ be such that $A^B=B^A$. Show that $\text{rank} (A,B)=n$ iff $\det(B+i A)\neq0$

Convex polygon inscribed in a circle with vertices that create matrix. Prove that the rank of this matrix is less or equal 2.

How to prove rank(A+) is no more than rank(A)?

How to prove $rank(A^+)$ is no more than rank(A)?

$|\text{rank}A-\text{rank}B|\leq \text{rank}(A+B)$

Rank of block matrix with equal diagonals

Nullity and Rank of Matrix

Two matrices whose product is equal to the identity matrix

Rank of a matrix over field extension.

The "range" and "image" of a transformation refer to the same thing, right?

Equality of Ranks

If rank of a given matrix of order $3 \times 4$ is $2$ then the value of $b$ is

Rank of covariance matrix

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