Question

$\mathrm{rank}(A)+\mathrm{rank}(I-A)=n$ for $A$ idempotent matrix

score 4.8k · Answer 1 · 2015-10-20 06:38:51

4.8k

Views

$\mathrm{rank}(A)+\mathrm{rank}(I-A)=n$ for $A$ idempotent matrix

Published on 20 Oct 2015 - 6:38

score 682 · Answer 2 · 2015-10-21 09:26:06

682

Views

rank of product of full rank matrices

Published on 21 Oct 2015 - 9:26

score 130 · Answer 3 · 2015-10-21 13:20:18

130

Views

Prove that $rank(A+B) \geq |rank (A) - rank(B)|$ where $rank(A+B)$ of two $p \times n$ matrices $A$ and $B$.

Published on 21 Oct 2015 - 13:20

score 32 · Answer 4 · 2015-10-21 18:29:29

32

Views

Take any $n\times k$ matrix $C$ with $r\left(C\right)=k$. $M_{C}=I-C\left(C^{T}C\right)^{-1}C^{T}$

Published on 21 Oct 2015 - 18:29

score 167 · Answer 5 · 2015-10-22 09:38:34

167

Views

Null space for linear map injectivity?

Published on 22 Oct 2015 - 9:38

score 8.4k · Answer 6 · 2015-10-23 05:16:51

8.4k

Views

Find the nullity and rank of a 3x5 matrix C where three columns = 0?

Published on 23 Oct 2015 - 5:16

score 824 · Answer 7 · 2015-10-23 07:15:35

824

Views

$C$ is a $3\times5$ matrix and $\{s,t,u,v,w\}$ is a linearly independent set of vectors in $\Bbb R^5$. $Cu=0,Cv=0$, and $Cw=0$. Answer the following

Published on 23 Oct 2015 - 7:15

score 210 · Answer 8 · 2026-03-30 08:26:07

210

Views

why do odd magic squares have the same rank as their size?

Published on 30 Mar 2026 - 8:26

score 264 · Answer 9 · 2015-10-24 16:06:44

264

Views

On an Exercise in finding the rank of a matrix.

Published on 24 Oct 2015 - 16:06

score 236 · Answer 10 · 2015-10-26 13:41:46

236

Views

If A is a $m\times n$ matrix, and $\text{rank}(A)=1$, then $A^2 =\lambda A$

Published on 26 Oct 2015 - 13:41

score 1.9k · Answer 11 · 2015-10-26 17:03:53

1.9k

Views

Prove that if $AB = 0$, then rank(A) + rank(B) ≤ p

Published on 26 Oct 2015 - 17:03

score 1k · Answer 12 · 2015-10-28 10:04:29

1k

Views

Null space and rank of block matrices

Published on 28 Oct 2015 - 10:04

score 683 · Answer 13 · 2015-10-29 07:25:44

683

Views

Null space of a matrix with a particular block decomposition

Published on 29 Oct 2015 - 7:25

score 99 · Answer 14 · 2015-10-30 18:20:44

99

Views

Trace of the product of a rank-one and an indefinite matrix, subject to semidefinite constraints

Published on 30 Oct 2015 - 18:20

score 1.8k · Answer 15 · 2015-10-31 12:11:21

1.8k

Views

better lower bound on rank of product of matrices

Published on 31 Oct 2015 - 12:11

List Question

$\mathrm{rank}(A)+\mathrm{rank}(I-A)=n$ for $A$ idempotent matrix

rank of product of full rank matrices

Prove that $rank(A+B) \geq |rank (A) - rank(B)|$ where $rank(A+B)$ of two $p \times n$ matrices $A$ and $B$.

Take any $n\times k$ matrix $C$ with $r\left(C\right)=k$. $M_{C}=I-C\left(C^{T}C\right)^{-1}C^{T}$

Null space for linear map injectivity?

Find the nullity and rank of a 3x5 matrix C where three columns = 0?

$C$ is a $3\times5$ matrix and $\{s,t,u,v,w\}$ is a linearly independent set of vectors in $\Bbb R^5$. $Cu=0,Cv=0$, and $Cw=0$. Answer the following

why do odd magic squares have the same rank as their size?

On an Exercise in finding the rank of a matrix.

If A is a $m\times n$ matrix, and $\text{rank}(A)=1$, then $A^2 =\lambda A$

Prove that if $AB = 0$, then rank(A) + rank(B) ≤ p

Null space and rank of block matrices

Null space of a matrix with a particular block decomposition

Trace of the product of a rank-one and an indefinite matrix, subject to semidefinite constraints

better lower bound on rank of product of matrices

Trending Questions

Popular # Hahtags

Popular Questions