Question

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

score 258 · Answer 1 · 2026-04-15 14:54:54

258

Views

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

Published on 15 Apr 2026 - 14:54

score 236 · Answer 2 · 2026-04-12 18:30:44

236

Views

Dimension of null space of a specific block matrix

Published on 12 Apr 2026 - 18:30

score 326 · Answer 3 · 2026-05-10 18:06:05

326

Views

Direct sum of the column and nullspace of A

Published on 10 May 2026 - 18:06

score 155 · Answer 4 · 2026-04-16 11:05:08

155

Views

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

Published on 16 Apr 2026 - 11:05

score 136 · Answer 5 · 2026-04-15 13:07:05

136

Views

Recovery of original matrix from a compressed low rank approximation?

Published on 15 Apr 2026 - 13:07

score 2.5k · Answer 6 · 2026-05-10 16:04:55

2.5k

Views

Rank of Laplacian matrix

Published on 10 May 2026 - 16:04

score 718 · Answer 7 · 2026-04-16 13:05:36

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 490 · Answer 8 · 2026-04-17 10:12:27

490

Views

Conceptual question of coplanar matrix

Published on 17 Apr 2026 - 10:12

score 164 · Answer 9 · 2026-05-02 16:22:50

164

Views

Blackbox Methods for Rank Deficient Least Squares

Published on 02 May 2026 - 16:22

score 340 · Answer 10 · 2026-04-14 14:30:45

340

Views

Are vectors generated from the same normal distribution linearly independent?

Published on 14 Apr 2026 - 14:30

score 414 · Answer 11 · 2026-04-12 09:29:13

414

Views

Square matrix with all negative elements is negative definite?

Published on 12 Apr 2026 - 9:29

score 145 · Answer 12 · 2026-04-16 05:27:25

145

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 16 Apr 2026 - 5:27

score 980 · Answer 13 · 2026-04-16 15:22:27

980

Views

Rank of product of matrices with non-full rank?

Published on 16 Apr 2026 - 15:22

score 285 · Answer 14 · 2026-04-14 01:11:47

285

Views

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

Published on 14 Apr 2026 - 1:11

score 2.1k · Answer 15 · 2026-03-25 09:39:42

2.1k

Views

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

Published on 25 Mar 2026 - 9:39

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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