List questions from matrix-rank

Published on 18 Jun 2017 - 9:04

109

Views

Does $\operatorname{rank} {A^T}A = \operatorname{rank} A$ holds when $A$ is matrix over finite field?

Published on 27 Mar 2026 - 7:16

33

Views

if anything can be said about rank of matrices if eigenvalues are known

Published on 19 Jun 2017 - 10:58

39

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Rank of matrix and one of its eigenvectors (A,v)

Published on 21 Jun 2017 - 3:56

155

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Find the rank of the matrix with ones on the main diagonal and $x$ off the main diagonal

Published on 25 Jun 2017 - 4:19

803

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Convex relaxation of rank constraint

Published on 27 Mar 2026 - 16:16

88

Views

If $A\in M_{5,4}$, $\operatorname{rank}A=3$ and $B\in M_{4,3}$, $\operatorname{rank}B=2$ then $AB$ must be a non-zero matrix.

Published on 09 Jul 2017 - 17:14

980

Views

Can full rank matrix have zero determinant?

Published on 11 Jul 2017 - 16:38

649

Views

Sum of two rank deficient matrices

Published on 13 Jul 2017 - 9:41

81

Views

Full rank condition when stacking vector valued function

Published on 17 Jul 2017 - 13:01

1.1k

Views

Rank of a Submatrix

Published on 17 Jul 2017 - 23:23

51

Views

Intuition for Low-Rank of Well-Behaved Kernels

Published on 18 Jul 2017 - 23:01

86

Views

Constraints for a Hadamard product to have rank 1

Published on 26 Mar 2026 - 12:53

139

Views

What is the rank of $\bigwedge ^kA$ as a function of rank $A$?

Published on 29 Mar 2026 - 14:35

309

Views

Prove $\text{rank}(A^2) — \text{rank}(A^3) \leq \text{rank}(A) — \text{rank}(A^2)$

Published on 23 Jul 2017 - 21:30

List Question

On the equality of the rank-sum inequality

Does $\operatorname{rank} {A^T}A = \operatorname{rank} A$ holds when $A$ is matrix over finite field?

if anything can be said about rank of matrices if eigenvalues are known

Rank of matrix and one of its eigenvectors (A,v)

Find the rank of the matrix with ones on the main diagonal and $x$ off the main diagonal

Convex relaxation of rank constraint

If $A\in M_{5,4}$, $\operatorname{rank}A=3$ and $B\in M_{4,3}$, $\operatorname{rank}B=2$ then $AB$ must be a non-zero matrix.

Can full rank matrix have zero determinant?

Sum of two rank deficient matrices

Full rank condition when stacking vector valued function

Rank of a Submatrix

Intuition for Low-Rank of Well-Behaved Kernels

Constraints for a Hadamard product to have rank 1

What is the rank of $\bigwedge ^kA$ as a function of rank $A$?

Prove $\text{rank}(A^2) — \text{rank}(A^3) \leq \text{rank}(A) — \text{rank}(A^2)$

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