List questions from matrix-rank

Published on 11 Feb 2021 - 7:36

44

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$ \min _{\operatorname{rank}\{\boldsymbol{B}\}=\boldsymbol{k}<r=rank(A)}\|\boldsymbol{A}-B\|_{2} ,A,B \in \mathbb{C}^{m \times n}$ and A is given

Published on 27 Mar 2026 - 21:20

4.4k

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Show that a matrix has full column rank

Published on 12 Feb 2021 - 13:46

149

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Rank of a matrix and graph connectivity

Published on 26 Mar 2026 - 17:31

301

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How to show that a matrix is not full rank using the linear independence definition

Published on 12 Feb 2021 - 17:30

102

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Proving system of bilinear equations does not have a solution using convex optimization

Published on 13 Feb 2021 - 2:29

946

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If $A$ is a matrix with rank($A$)=1,then the minimal polynomial of $A$ is of degree $2$.

Published on 14 Feb 2021 - 5:45

144

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Dimension of a matrix subspace given a rank

Published on 16 Feb 2021 - 11:34

179

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Necessary and sufficient conditions for uniqueness of solution

Published on 16 Feb 2021 - 22:32

257

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Finding the range of a matrix $A$

Published on 18 Feb 2021 - 14:32

130

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"Transform" a matrix into a matrix with full column rank

Published on 18 Feb 2021 - 14:41

64

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Rank of submatrices: clarify an apparent contradiction

Published on 18 Feb 2021 - 16:57

438

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Rank-Nullity Possible Pairs

Published on 19 Feb 2021 - 6:49

98

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Finding a base of matrices of rank 1

Published on 19 Feb 2021 - 12:24

475

Views

How to Decompose a matrix (in cases rank=1) into two row vectors?

Published on 30 Mar 2026 - 8:14

List Question

The common solution of AX=0 and A^TX=0

$ \min _{\operatorname{rank}\{\boldsymbol{B}\}=\boldsymbol{k}<r=rank(A)}\|\boldsymbol{A}-B\|_{2} ,A,B \in \mathbb{C}^{m \times n}$ and A is given

Show that a matrix has full column rank

Rank of a matrix and graph connectivity

How to show that a matrix is not full rank using the linear independence definition

Proving system of bilinear equations does not have a solution using convex optimization

If $A$ is a matrix with rank($A$)=1,then the minimal polynomial of $A$ is of degree $2$.

Dimension of a matrix subspace given a rank

Necessary and sufficient conditions for uniqueness of solution

Finding the range of a matrix $A$

"Transform" a matrix into a matrix with full column rank

Rank of submatrices: clarify an apparent contradiction

Rank-Nullity Possible Pairs

Finding a base of matrices of rank 1

How to Decompose a matrix (in cases rank=1) into two row vectors?

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