Question

Can one know the rank of a matrix product given the rank of one of them?

score 255 · Answer 1 · 2018-05-13 16:55:31

255

Views

Can one know the rank of a matrix product given the rank of one of them?

Published on 13 May 2018 - 16:55

score 233 · Answer 2 · 2018-05-14 09:33:22

233

Views

Dimension of null space of a specific block matrix

Published on 14 May 2018 - 9:33

score 319 · Answer 3 · 2018-05-14 11:08:42

319

Views

Direct sum of the column and nullspace of A

Published on 14 May 2018 - 11:08

score 152 · Answer 4 · 2018-05-14 11:33:52

152

Views

Finding Bases of Kernel and Image of $T:M_{2,2} \rightarrow M_{2,2}$.

Published on 14 May 2018 - 11:33

score 133 · Answer 5 · 2018-05-14 21:40:27

133

Views

Recovery of original matrix from a compressed low rank approximation?

Published on 14 May 2018 - 21:40

score 2.5k · Answer 6 · 2026-03-25 04:40:42

2.5k

Views

Rank of Laplacian matrix

Published on 25 Mar 2026 - 4:40

score 715 · Answer 7 · 2018-05-18 18:57:17

Prove: A matrix $A \in \mathbb{C}^{m \times n}$ with $m \geq n$ has full rank if and only if it maps no two distinct vectors to the same vector.

score 485 · Answer 8 · 2018-05-19 13:12:41

485

Views

Conceptual question of coplanar matrix

Published on 19 May 2018 - 13:12

score 152 · Answer 9 · 2026-02-23 06:07:26

152

Views

Blackbox Methods for Rank Deficient Least Squares

Published on 23 Feb 2026 - 6:07

score 337 · Answer 10 · 2018-05-23 04:26:52

337

Views

Are vectors generated from the same normal distribution linearly independent?

Published on 23 May 2018 - 4:26

score 411 · Answer 11 · 2018-05-23 16:51:36

411

Views

Square matrix with all negative elements is negative definite?

Published on 23 May 2018 - 16:51

score 142 · Answer 12 · 2018-05-25 12:52:37

142

Views

Find a sufficient and necessay condition on $I$ so that $\{M \in M_n(\mathbb R), \ rank(M) \in I \}$ is connected.

Published on 25 May 2018 - 12:52

score 977 · Answer 13 · 2018-05-28 06:37:57

977

Views

Rank of product of matrices with non-full rank?

Published on 28 May 2018 - 6:37

score 282 · Answer 14 · 2018-05-28 06:53:02

282

Views

Probability of a $1000 \times 1000$ square matrix over $\mathbb{Z}_2$ having full rank

Published on 28 May 2018 - 6:53

score 2.1k · Answer 15 · 2026-03-18 07:36:55

2.1k

Views

Prove $A$ and $B$ are equivalent if and only if $\text{rank}(A) =\text{rank}(B)$

Published on 18 Mar 2026 - 7:36

List Question

Can one know the rank of a matrix product given the rank of one of them?

Dimension of null space of a specific block matrix

Direct sum of the column and nullspace of A

Finding Bases of Kernel and Image of $T:M_{2,2} \rightarrow M_{2,2}$.

Recovery of original matrix from a compressed low rank approximation?

Rank of Laplacian matrix

Prove: A matrix $A \in \mathbb{C}^{m \times n}$ with $m \geq n$ has full rank if and only if it maps no two distinct vectors to the same vector.

Conceptual question of coplanar matrix

Blackbox Methods for Rank Deficient Least Squares

Are vectors generated from the same normal distribution linearly independent?

Square matrix with all negative elements is negative definite?

Find a sufficient and necessay condition on $I$ so that $\{M \in M_n(\mathbb R), \ rank(M) \in I \}$ is connected.

Rank of product of matrices with non-full rank?

Probability of a $1000 \times 1000$ square matrix over $\mathbb{Z}_2$ having full rank

Prove $A$ and $B$ are equivalent if and only if $\text{rank}(A) =\text{rank}(B)$

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