Question

Reasons why $AB$ is not full column rank

score 81 · Answer 1 · 2020-03-12 13:20:57

81

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Reasons why $AB$ is not full column rank

Published on 12 Mar 2020 - 13:20

score 3.8k · Answer 2 · 2026-03-25 22:04:24

3.8k

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Rank of homogeneous linear system of equations

Published on 25 Mar 2026 - 22:04

score 59 · Answer 3 · 2020-03-25 16:54:51

59

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Prove that, if $A, B \in M_{m × n}(K)$ then $A$ is equivalent to $I^{m, n}_r \iff rank(A)=r$, and $A$ is equivalent to $B$ iff their ranks are equal.

Published on 25 Mar 2020 - 16:54

score 415 · Answer 4 · 2026-03-25 09:37:00

415

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Using rank-nullity for rankA + rank(adj(A)) = n iff col(adj(A)) = nullA

Published on 25 Mar 2026 - 9:37

score 22 · Answer 5 · 2020-03-30 17:27:05

22

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Finding linear combination of rows to get final row in rank deficient matrices

Published on 30 Mar 2020 - 17:27

score 439 · Answer 6 · 2020-04-01 10:53:04

439

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Rank of Matrix Determined by Square Submatrices

Published on 01 Apr 2020 - 10:53

score 1k · Answer 7 · 2020-04-02 11:48:54

1k

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Low-rank approximation and Eckart-Young-Mirsky theorem for complex matrices

Published on 02 Apr 2020 - 11:48

score 14 · Answer 8 · 2020-04-05 14:51:12

14

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Matrix Rank Polarization

Published on 05 Apr 2020 - 14:51

score 757 · Answer 9 · 2026-03-27 04:21:03

757

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Symmetric low rank approximate factorization of symmetric matrix

Published on 27 Mar 2026 - 4:21

score 59 · Answer 10 · 2020-04-08 11:35:31

59

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Prove that $U$ is an open subset of $\Bbb {R}^{n}$

Published on 08 Apr 2020 - 11:35

score 30 · Answer 11 · 2020-04-09 01:13:56

30

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How to transform a symmetric $N\times N$ matrix in a rank-1 matrix?

Published on 09 Apr 2020 - 1:13

score 597 · Answer 12 · 2020-04-09 18:18:44

597

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How to calculate the dimension of the Lie algebra associated with the complex Lorentz group? Calculate the generators associated with the Lie algebra

Published on 09 Apr 2020 - 18:18

score 34 · Answer 13 · 2020-04-09 19:29:19

34

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What can we say about, $b=\langle x^TA,x \rangle$?

Published on 09 Apr 2020 - 19:29

score 234 · Answer 14 · 2020-04-09 21:57:07

234

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Is it possible to characterize the changes in eigenvalues of a diagonal plus rank-1 matrix from eigenvalue gaps?

Published on 09 Apr 2020 - 21:57

score 1.9k · Answer 15 · 2020-04-10 09:24:21

1.9k

Views

Can you have a matrix of rank 4?

Published on 10 Apr 2020 - 9:24

List Question

Reasons why $AB$ is not full column rank

Rank of homogeneous linear system of equations

Prove that, if $A, B \in M_{m × n}(K)$ then $A$ is equivalent to $I^{m, n}_r \iff rank(A)=r$, and $A$ is equivalent to $B$ iff their ranks are equal.

Using rank-nullity for rankA + rank(adj(A)) = n iff col(adj(A)) = nullA

Finding linear combination of rows to get final row in rank deficient matrices

Rank of Matrix Determined by Square Submatrices

Low-rank approximation and Eckart-Young-Mirsky theorem for complex matrices

Matrix Rank Polarization

Symmetric low rank approximate factorization of symmetric matrix

Prove that $U$ is an open subset of $\Bbb {R}^{n}$

How to transform a symmetric $N\times N$ matrix in a rank-1 matrix?

How to calculate the dimension of the Lie algebra associated with the complex Lorentz group? Calculate the generators associated with the Lie algebra

What can we say about, $b=\langle x^TA,x \rangle$?

Is it possible to characterize the changes in eigenvalues of a diagonal plus rank-1 matrix from eigenvalue gaps?

Can you have a matrix of rank 4?

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