Question

$\operatorname{tr}(BA)$ where $A$ is low rank and has a subset of eigenvalues from $B^{-1}$

score 81 · Answer 1 · 2026-04-02 23:30:59

81

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$\operatorname{tr}(BA)$ where $A$ is low rank and has a subset of eigenvalues from $B^{-1}$

Published on 02 Apr 2026 - 23:30

score 80 · Answer 2 · 2021-02-02 17:36:03

80

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Traceless low rank approximation of a symmetric matrix by SVD

Published on 02 Feb 2021 - 17:36

score 234 · Answer 3 · 2021-02-03 19:50:56

234

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Column rank of a matrix

Published on 03 Feb 2021 - 19:50

score 409 · Answer 4 · 2021-02-04 15:58:52

409

Views

Fundamental system of solutions for SLAE

Published on 04 Feb 2021 - 15:58

score 113 · Answer 5 · 2026-03-28 10:16:16

113

Views

Rank of projection error

Published on 28 Mar 2026 - 10:16

score 62 · Answer 6 · 2021-02-04 21:48:48

If $A$ is a $n\times n$ matrix with entries from $\mathbb R$ or $\mathbb C$ (complex) and ${A^{T}}A=0$ prove $\operatorname{Rank}(A)\le \frac{n}{2}$

score 545 · Answer 7 · 2021-02-05 12:01:08

545

Views

If $\operatorname{Rank}(A^k) =\operatorname{Rank}(A^{k+1})$, why does $\operatorname{Rank}(A^{k+1}) = \operatorname{Rank}(A^{k+2}) $?

Published on 05 Feb 2021 - 12:01

score 72 · Answer 8 · 2021-02-05 12:46:41

72

Views

Clarifying the notion of basic/free variables in a system of equations

Published on 05 Feb 2021 - 12:46

score 206 · Answer 9 · 2021-02-05 14:43:01

206

Views

When are we free in setting the free/basic variables in a linear system of equations

Published on 05 Feb 2021 - 14:43

score 519 · Answer 10 · 2021-02-06 15:09:31

519

Views

How to determine if a system of equations has a solution using the rank of a matrix

Published on 06 Feb 2021 - 15:09

score 98 · Answer 11 · 2021-02-08 06:16:18

98

Views

Help with inequality of rank of sum, using the rank of the product

Published on 08 Feb 2021 - 6:16

score 111 · Answer 12 · 2021-02-08 11:59:26

111

Views

Column rank of a matrix with zero block

Published on 08 Feb 2021 - 11:59

score 276 · Answer 13 · 2021-02-09 09:17:53

276

Views

Connecting the rank with the determinant of a skew symmetric matrix.

Published on 09 Feb 2021 - 9:17

score 124 · Answer 14 · 2021-02-09 11:40:28

124

Views

Proving that $\operatorname{rank}(\mathbf{A}) = 1$ if and only if $\mathbf{A}$ is the product of a non-zero column vector and a non-zero row vector

Published on 09 Feb 2021 - 11:40

score 17 · Answer 15 · 2026-03-12 09:49:10

17

Views

number of matrices with a single nullspace point

Published on 12 Mar 2026 - 9:49

List Question

$\operatorname{tr}(BA)$ where $A$ is low rank and has a subset of eigenvalues from $B^{-1}$

Traceless low rank approximation of a symmetric matrix by SVD

Column rank of a matrix

Fundamental system of solutions for SLAE

Rank of projection error

If $A$ is a $n\times n$ matrix with entries from $\mathbb R$ or $\mathbb C$ (complex) and ${A^{T}}A=0$ prove $\operatorname{Rank}(A)\le \frac{n}{2}$

If $\operatorname{Rank}(A^k) =\operatorname{Rank}(A^{k+1})$, why does $\operatorname{Rank}(A^{k+1}) = \operatorname{Rank}(A^{k+2}) $?

Clarifying the notion of basic/free variables in a system of equations

When are we free in setting the free/basic variables in a linear system of equations

How to determine if a system of equations has a solution using the rank of a matrix

Help with inequality of rank of sum, using the rank of the product

Column rank of a matrix with zero block

Connecting the rank with the determinant of a skew symmetric matrix.

Proving that $\operatorname{rank}(\mathbf{A}) = 1$ if and only if $\mathbf{A}$ is the product of a non-zero column vector and a non-zero row vector

number of matrices with a single nullspace point

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