Question

Prove that if $A,B$ are equivalent, then $A^T,B^T$ are

score 5.5k · Answer 1 · 2016-09-03 18:51:10

5.5k

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Prove that if $A,B$ are equivalent, then $A^T,B^T$ are

Published on 03 Sep 2016 - 18:51

score 1.9k · Answer 2 · 2016-09-06 13:30:20

1.9k

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Why matrix of rank one can be written as a tensor product of two vectors?

Published on 06 Sep 2016 - 13:30

score 320 · Answer 3 · 2026-03-26 01:27:27

320

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Proving a matrix rank equality

Published on 26 Mar 2026 - 1:27

score 457 · Answer 4 · 2016-09-07 20:31:42

457

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For any square matrix A show that rk($A^2) \leq$ rk ($A$).

Published on 07 Sep 2016 - 20:31

score 636 · Answer 5 · 2026-03-27 01:00:15

636

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Sum of rank-$k$ positive semidefinite matrices is at least of rank $k$

Published on 27 Mar 2026 - 1:00

score 962 · Answer 6 · 2026-03-26 13:02:08

962

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How to visualize the rank of a matrix?

Published on 26 Mar 2026 - 13:02

score 408 · Answer 7 · 2016-09-09 10:01:43

408

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How to find a basis and use rank-nullity theorem to find dim(V) of a subspace?

Published on 09 Sep 2016 - 10:01

score 2.1k · Answer 8 · 2016-09-09 12:13:56

2.1k

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When dimension of a subspace is asked, what do we find nullity or rank?

Published on 09 Sep 2016 - 12:13

score 3.2k · Answer 9 · 2016-09-10 05:16:10

3.2k

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A problem on rank of $A$ and $\operatorname{adj}(A)$

Published on 10 Sep 2016 - 5:16

score 849 · Answer 10 · 2026-03-26 05:54:37

849

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Find Rank of given matrix

Published on 26 Mar 2026 - 5:54

score 632 · Answer 11 · 2016-09-12 19:45:18

632

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Derivation of formula $\mathrm{rank}(A)+\mathrm{rank}(B)-m\le\mathrm{rank}(AB)\le\min\{\mathrm{rank}(A), \mathrm{rank}(B)\}$

Published on 12 Sep 2016 - 19:45

score 249 · Answer 12 · 2026-03-27 19:33:32

249

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$\operatorname{Adj} (\mathbf I_n x-\mathbf A)$ when $\operatorname{rank}(\mathbf A)\le n-2$

Published on 27 Mar 2026 - 19:33

score 46 · Answer 13 · 2016-09-13 19:32:33

46

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Matrix whose rank differs depending on the domain of the elements

Published on 13 Sep 2016 - 19:32

score 1.1k · Answer 14 · 2016-09-14 10:24:04

1.1k

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Decompose a matrix into a sum of matrices of lower rank

Published on 14 Sep 2016 - 10:24

score 5.1k · Answer 15 · 2016-09-16 19:03:48

5.1k

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Is Kruskal rank and rank of a matrix the same?

Published on 16 Sep 2016 - 19:03

List Question

Prove that if $A,B$ are equivalent, then $A^T,B^T$ are

Why matrix of rank one can be written as a tensor product of two vectors?

Proving a matrix rank equality

For any square matrix A show that rk($A^2) \leq$ rk ($A$).

Sum of rank-$k$ positive semidefinite matrices is at least of rank $k$

How to visualize the rank of a matrix?

How to find a basis and use rank-nullity theorem to find dim(V) of a subspace?

When dimension of a subspace is asked, what do we find nullity or rank?

A problem on rank of $A$ and $\operatorname{adj}(A)$

Find Rank of given matrix

Derivation of formula $\mathrm{rank}(A)+\mathrm{rank}(B)-m\le\mathrm{rank}(AB)\le\min\{\mathrm{rank}(A), \mathrm{rank}(B)\}$

$\operatorname{Adj} (\mathbf I_n x-\mathbf A)$ when $\operatorname{rank}(\mathbf A)\le n-2$

Matrix whose rank differs depending on the domain of the elements

Decompose a matrix into a sum of matrices of lower rank

Is Kruskal rank and rank of a matrix the same?

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