Question

Is $BAB'$ (with positive definite $A$ and full-row rank$(B) = k$) itself of rank $k$?

score 1.2k · Answer 1 · 2015-09-10 05:18:58

1.2k

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Is $BAB'$ (with positive definite $A$ and full-row rank$(B) = k$) itself of rank $k$?

Published on 10 Sep 2015 - 5:18

score 93 · Answer 2 · 2015-09-13 23:14:40

93

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Matrix rank linear algebra

Published on 13 Sep 2015 - 23:14

score 112 · Answer 3 · 2015-09-15 17:58:00

112

Views

Where I'm wrong? Why my solution is wrong?

Published on 15 Sep 2015 - 17:58

score 69 · Answer 4 · 2015-09-19 08:13:52

69

Views

If $X^2 = YX$ for some non-singular matrix $Y$, then $\operatorname{Null}(X) \cap \operatorname{Range}(X) = \{ 0\}$

Published on 19 Sep 2015 - 8:13

score 174 · Answer 5 · 2015-09-22 08:53:24

174

Views

matrix analysis and rank of matrix

Published on 22 Sep 2015 - 8:53

score 114 · Answer 6 · 2026-03-26 20:44:02

114

Views

Symmetric Matrix Sign equivalence and rank of extenden matrix

Published on 26 Mar 2026 - 20:44

score 216 · Answer 7 · 2015-09-26 07:51:21

216

Views

What is the rank of the matrix $A=\sum_{i=1}^{5} u_i u_i^T$ where $u_i$'s are independent?

Published on 26 Sep 2015 - 7:51

score 114 · Answer 8 · 2015-09-26 09:08:32

114

Views

What condition should an $m\times n$ matrix $A$ meet for $x\mapsto\|Ax\|$ to define a vector norm

Published on 26 Sep 2015 - 9:08

score 897 · Answer 9 · 2026-03-25 12:54:24

897

Views

Rank of a matrix over a principal ideal domain

Published on 25 Mar 2026 - 12:54

score 18.7k · Answer 10 · 2015-09-27 17:38:25

18.7k

Views

Can a non-square matrix have a full rank?

Published on 27 Sep 2015 - 17:38

score 2.8k · Answer 11 · 2026-03-31 15:51:20

2.8k

Views

Finding Jordan Normal Form of 4x4 Matrix

Published on 31 Mar 2026 - 15:51

score 832 · Answer 12 · 2015-09-29 05:07:04

832

Views

What are the relations between the columns, rows and rank of a matrix A, in order to show that A has an inverse?

Published on 29 Sep 2015 - 5:07

score 2.9k · Answer 13 · 2015-09-29 15:17:12

2.9k

Views

Diagonalization of a Matrix and $\lambda I -A$ Rank

Published on 29 Sep 2015 - 15:17

score 59 · Answer 14 · 2015-09-29 20:07:47

59

Views

Simple solution to linear system, is this a two sided implication?

Published on 29 Sep 2015 - 20:07

score 88 · Answer 15 · 2015-10-02 22:18:33

88

Views

For a set of symmetric matrices $A_i$ of order p, show that if the sum of their ranks is p, $A_iA_j=0$

Published on 02 Oct 2015 - 22:18

List Question

Is $BAB'$ (with positive definite $A$ and full-row rank$(B) = k$) itself of rank $k$?

Matrix rank linear algebra

Where I'm wrong? Why my solution is wrong?

If $X^2 = YX$ for some non-singular matrix $Y$, then $\operatorname{Null}(X) \cap \operatorname{Range}(X) = \{ 0\}$

matrix analysis and rank of matrix

Symmetric Matrix Sign equivalence and rank of extenden matrix

What is the rank of the matrix $A=\sum_{i=1}^{5} u_i u_i^T$ where $u_i$'s are independent?

What condition should an $m\times n$ matrix $A$ meet for $x\mapsto\|Ax\|$ to define a vector norm

Rank of a matrix over a principal ideal domain

Can a non-square matrix have a full rank?

Finding Jordan Normal Form of 4x4 Matrix

What are the relations between the columns, rows and rank of a matrix A, in order to show that A has an inverse?

Diagonalization of a Matrix and $\lambda I -A$ Rank

Simple solution to linear system, is this a two sided implication?

For a set of symmetric matrices $A_i$ of order p, show that if the sum of their ranks is p, $A_iA_j=0$

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