List questions from matrix-rank

Published on 27 Jul 2020 - 2:44

74

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Let $A$ and $B$ be $n\times n$ matrices. Let $\operatorname{rank}(A)=s$ and $\operatorname{rank}(B)=t$. Then rank of $A+B\ge\cdots$

Published on 27 Jul 2020 - 3:35

63

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How to prove the statement about the rank of a block matrix?

Published on 26 Mar 2026 - 16:09

251

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How can I determine if "Singular Value Decomposition" is a rank revealing matrix factorization

Published on 27 Mar 2026 - 17:06

143

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Is $\mbox{Rank}(A + A^2) \leq \mbox{Rank} (A)$?

Published on 31 Jul 2020 - 8:46

970

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Show that Rank $(A)$ = Rank$(A^2)$ $\iff \exists B$ invertible s.t. $A^2= B A$.

Published on 31 Jul 2020 - 10:42

2.1k

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What is the rank of the matrix consisting of all permutations of one vector?

Published on 06 Jul 2016 - 8:36

187

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Confusion on symmetric bilinear form exercise

Published on 26 Mar 2026 - 12:33

144

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Proving tightness of a semidefinite relaxation of a nonconvex quadratic program

Published on 25 Mar 2026 - 8:12

370

Views

How can two vectors, with three elements each, form a base of a two dimensional space?

Published on 09 Jul 2016 - 22:02

62

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Rank of a matrix products

Published on 11 Jul 2016 - 19:58

44

Views

rank of these two matrices

Published on 12 Jul 2016 - 6:23

50

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Linearly Dependent Equations

Published on 12 Jul 2016 - 17:10

1k

Views

Rank of a block lower triangular matrix

Published on 13 Jul 2016 - 6:27

250

Views

rank of an even-diagonal integer matrix

Published on 13 Jul 2016 - 15:58

List Question

The matrix which minimize Frobenius norm is unique? or not?

Let $A$ and $B$ be $n\times n$ matrices. Let $\operatorname{rank}(A)=s$ and $\operatorname{rank}(B)=t$. Then rank of $A+B\ge\cdots$

How to prove the statement about the rank of a block matrix?

How can I determine if "Singular Value Decomposition" is a rank revealing matrix factorization

Is $\mbox{Rank}(A + A^2) \leq \mbox{Rank} (A)$?

Show that Rank $(A)$ = Rank$(A^2)$ $\iff \exists B$ invertible s.t. $A^2= B A$.

What is the rank of the matrix consisting of all permutations of one vector?

Confusion on symmetric bilinear form exercise

Proving tightness of a semidefinite relaxation of a nonconvex quadratic program

How can two vectors, with three elements each, form a base of a two dimensional space?

Rank of a matrix products

rank of these two matrices

Linearly Dependent Equations

Rank of a block lower triangular matrix

rank of an even-diagonal integer matrix

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