List questions from matrix-rank

Published on 09 Mar 2021 - 17:35

1.2k

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Observability matrix: What is its rank?

Published on 27 Mar 2026 - 17:51

947

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Rank of $AA^T$ if $A$ is a full rank matrix

Published on 12 Mar 2021 - 18:44

113

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For which values of $a$ does this system of equations $\mathbf{{not}}$ have a unique solution?

Published on 12 Mar 2021 - 20:02

163

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Rank inequality

Published on 12 Mar 2021 - 20:40

77

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Bound on non-negative rank

Published on 16 Mar 2021 - 19:13

31

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What information do I get about the linear relations between a Matrix' lines from its rank?

Published on 17 Mar 2021 - 21:16

34

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Show $\mathcal{R}(A) \supseteq \mathcal{R}(B) \Leftrightarrow \mathrm{rank} A = \mathrm{rank} (A | B)$

Published on 18 Mar 2021 - 14:46

341

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Show that every rank-deficient matrix has a full rank matrix arbitrarily close to it

Published on 01 Apr 2026 - 10:49

306

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Rank of a matrix if one of the diagonal elements is $0$ during elementary row operations

Published on 28 Mar 2026 - 4:42

163

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Prove if $\operatorname{adj}(A) = O$ then $\operatorname{rank}A \leq n-2$

Published on 26 Mar 2026 - 6:34

389

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Nullspace of a block matrix

Published on 28 Mar 2026 - 23:10

97

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Condition on $X$ so that $X^TX$ is positive definite

Published on 28 Mar 2021 - 19:51

108

Views

Using a block matrix to show that $A$ and $B$ commute

Published on 28 Mar 2026 - 23:10

74

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Analyzing compositions of complementary CPTP maps with their adjoints

Published on 29 Mar 2021 - 2:10

List Question

Rank of matrix verification using row echelon form

Observability matrix: What is its rank?

Rank of $AA^T$ if $A$ is a full rank matrix

For which values of $a$ does this system of equations $\mathbf{{not}}$ have a unique solution?

Rank inequality

Bound on non-negative rank

What information do I get about the linear relations between a Matrix' lines from its rank?

Show $\mathcal{R}(A) \supseteq \mathcal{R}(B) \Leftrightarrow \mathrm{rank} A = \mathrm{rank} (A | B)$

Show that every rank-deficient matrix has a full rank matrix arbitrarily close to it

Rank of a matrix if one of the diagonal elements is $0$ during elementary row operations

Prove if $\operatorname{adj}(A) = O$ then $\operatorname{rank}A \leq n-2$

Nullspace of a block matrix

Condition on $X$ so that $X^TX$ is positive definite

Using a block matrix to show that $A$ and $B$ commute

Analyzing compositions of complementary CPTP maps with their adjoints

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