Question

$\operatorname{rank}(A+B)\geq|\operatorname{rank}(A)-\operatorname{rank}(B)|$

score 78 · Answer 1 · 2022-05-15 05:31:30

78

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$\operatorname{rank}(A+B)\geq|\operatorname{rank}(A)-\operatorname{rank}(B)|$

Published on 15 May 2022 - 5:31

score 146 · Answer 2 · 2026-03-29 14:02:43

146

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Rank of the concatenation of two matrices

Published on 29 Mar 2026 - 14:02

score 107 · Answer 3 · 2026-04-01 00:07:08

107

Views

Singular points of the commutator map

Published on 01 Apr 2026 - 0:07

score 91 · Answer 4 · 2022-05-25 12:01:59

91

Views

Does it always hold that $n-\operatorname{rank}(A)=\operatorname{rank}(I_n-BA)-\operatorname{rank}(A(I_n-BA))$

Published on 25 May 2022 - 12:01

score 94 · Answer 5 · 2022-05-25 12:36:55

94

Views

$\mathrm{rank}(I_n-BA)=\mathrm{rank}(I_n-AB)$

Published on 25 May 2022 - 12:36

score 337 · Answer 6 · 2022-05-27 14:58:27

337

Views

A Theorem that proves $rank(T) = \dim \operatorname{Im}(T)$

Published on 27 May 2022 - 14:58

score 41 · Answer 7 · 2022-05-31 02:59:48

41

Views

Rank of matrix after cropping

Published on 31 May 2022 - 2:59

score 121 · Answer 8 · 2026-02-25 07:55:34

121

Views

Generate singular values of a matrix(Gaussian Random) using Quadrant law in python.

Published on 25 Feb 2026 - 7:55

score 143 · Answer 9 · 2022-06-04 17:35:01

143

Views

Find the rank of matrix $A$ if $A^3+A^2+A=0$

Published on 04 Jun 2022 - 17:35

score 75 · Answer 10 · 2022-06-07 21:40:15

75

Views

Determine the value of k so that the following system is consistent.find solution for these values of k.

Published on 07 Jun 2022 - 21:40

score 68 · Answer 11 · 2022-06-09 11:32:06

68

Views

Show that the rank is 1

Published on 09 Jun 2022 - 11:32

score 60 · Answer 12 · 2026-03-26 04:52:06

60

Views

Finding "more dependent" columns of an ill-conditioned square matrix

Published on 26 Mar 2026 - 4:52

score 111 · Answer 13 · 2022-06-10 06:04:37

111

Views

Prove $rk(A - AXW^{-1}Y^TA) = rk(A) - rk(AXW^{-1}Y^TA)$ : A general form of Wedderburn’s rank-one reduction formula

Published on 10 Jun 2022 - 6:04

score 132 · Answer 14 · 2026-03-27 04:38:32

132

Views

The rank of block skew symmetric matrix

Published on 27 Mar 2026 - 4:38

score 144 · Answer 15 · 2026-03-28 03:01:11

144

Views

How to show that controllability and observability are not affected by replacing $A$ with $(A+αI)$?

Published on 28 Mar 2026 - 3:01

List Question

$\operatorname{rank}(A+B)\geq|\operatorname{rank}(A)-\operatorname{rank}(B)|$

Rank of the concatenation of two matrices

Singular points of the commutator map

Does it always hold that $n-\operatorname{rank}(A)=\operatorname{rank}(I_n-BA)-\operatorname{rank}(A(I_n-BA))$

$\mathrm{rank}(I_n-BA)=\mathrm{rank}(I_n-AB)$

A Theorem that proves $rank(T) = \dim \operatorname{Im}(T)$

Rank of matrix after cropping

Generate singular values of a matrix(Gaussian Random) using Quadrant law in python.

Find the rank of matrix $A$ if $A^3+A^2+A=0$

Determine the value of k so that the following system is consistent.find solution for these values of k.

Show that the rank is 1

Finding "more dependent" columns of an ill-conditioned square matrix

Prove $rk(A - AXW^{-1}Y^TA) = rk(A) - rk(AXW^{-1}Y^TA)$ : A general form of Wedderburn’s rank-one reduction formula

The rank of block skew symmetric matrix

How to show that controllability and observability are not affected by replacing $A$ with $(A+αI)$?

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