Question

How to prove that if A and B are matrices, then the rank of AB <= the rank of B

score 793 · Answer 1 · 2016-03-31 19:29:14

793

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How to prove that if A and B are matrices, then the rank of AB <= the rank of B

Published on 31 Mar 2016 - 19:29

score 375 · Answer 2 · 2016-03-31 22:49:14

375

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Rank of a matrix concatenated on the right and bottom with a column and row of ones?

Published on 31 Mar 2016 - 22:49

score 1.1k · Answer 3 · 2016-04-01 08:38:06

1.1k

Views

Counting the number of rank $r$ binary $n \times k$ matrices that has unique columns

Published on 01 Apr 2016 - 8:38

score 109 · Answer 4 · 2026-03-27 03:42:23

109

Views

Special case of matrix product rank

Published on 27 Mar 2026 - 3:42

score 804 · Answer 5 · 2026-03-30 11:01:01

804

Views

Rank of submatrix

Published on 30 Mar 2026 - 11:01

score 555 · Answer 6 · 2026-03-30 01:30:03

555

Views

Properties (range, null space, norm, rank) of RREF, SVD, and Reduced SVD of matrix A

Published on 30 Mar 2026 - 1:30

score 248 · Answer 7 · 2016-04-05 21:29:15

248

Views

Rank of special block matrix

Published on 05 Apr 2016 - 21:29

score 514 · Answer 8 · 2026-02-23 09:00:57

514

Views

Is the product of a diagonal matrix and a rank-$1$ matrix still rank-$1$?

Published on 23 Feb 2026 - 9:00

score 77 · Answer 9 · 2016-04-08 05:06:00

77

Views

If $A$ is a symmetric, prove that, $dvv^T$ is of rank one.

Published on 08 Apr 2016 - 5:06

score 975 · Answer 10 · 2016-04-08 14:06:59

975

Views

What are possible eigenvalues of a 0-1 (boolean) matrix?

Published on 08 Apr 2016 - 14:06

score 374 · Answer 11 · 2026-03-10 08:32:29

374

Views

On the rank of antisymmetric matrices

Published on 10 Mar 2026 - 8:32

score 51 · Answer 12 · 2016-04-10 01:33:43

51

Views

Suppose that $A \in M_{5\times5}$, and suppose that $RREF_A = B$. Find $\text{rank}(A)$, if we know that $\det A = \det B + 1$

Published on 10 Apr 2016 - 1:33

score 440 · Answer 13 · 2016-04-11 12:09:42

440

Views

Every skew-symmetric matrix has even rank

Published on 11 Apr 2016 - 12:09

score 845 · Answer 14 · 2016-04-12 03:31:21

845

Views

Query about another post $\operatorname{rank}(AB) \leq \min(\operatorname{rank}(A), \operatorname{rank}(B))$

Published on 12 Apr 2016 - 3:31

score 216 · Answer 15 · 2016-04-13 21:47:30

216

Views

Why is it difficult (and not precise) to compute the rank of large matrix numerically?

Published on 13 Apr 2016 - 21:47

List Question

How to prove that if A and B are matrices, then the rank of AB <= the rank of B

Rank of a matrix concatenated on the right and bottom with a column and row of ones?

Counting the number of rank $r$ binary $n \times k$ matrices that has unique columns

Special case of matrix product rank

Rank of submatrix

Properties (range, null space, norm, rank) of RREF, SVD, and Reduced SVD of matrix A

Rank of special block matrix

Is the product of a diagonal matrix and a rank-$1$ matrix still rank-$1$?

If $A$ is a symmetric, prove that, $dvv^T$ is of rank one.

What are possible eigenvalues of a 0-1 (boolean) matrix?

On the rank of antisymmetric matrices

Suppose that $A \in M_{5\times5}$, and suppose that $RREF_A = B$. Find $\text{rank}(A)$, if we know that $\det A = \det B + 1$

Every skew-symmetric matrix has even rank

Query about another post $\operatorname{rank}(AB) \leq \min(\operatorname{rank}(A), \operatorname{rank}(B))$

Why is it difficult (and not precise) to compute the rank of large matrix numerically?

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