List questions from matrix-rank

Published on 02 May 2017 - 15:36

124

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Find rank one linear combination of matrices

Published on 03 May 2017 - 18:35

811

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Product of a diagonal full rank matrix with an "almost" low rank matrix

Published on 04 May 2017 - 9:20

2.1k

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Let $A$ be a $5 \times 5$ matrix such that $A^2=0$. Then how to compute the maximum rank for such A?

Published on 01 Apr 2026 - 12:51

865

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Rank of an Involutory Matrix

Published on 05 May 2017 - 13:47

189

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If $A^2 = I$, then $\operatorname{rank} (A+I) + \operatorname{rank} (A-I) =n$

Published on 05 May 2017 - 15:15

388

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About the rank of a solution of a matrix linear differential equation

Published on 06 May 2017 - 1:33

52

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Similarity of a one-rank matrix

Published on 08 May 2017 - 8:44

183

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Relationship between highest eigenvalue and rank of PSD matrix

Published on 28 Mar 2026 - 20:53

153

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If $\mathrm{rank}(A)+\mathrm{rank}(I_n-A)=n$, then $A^2=A.$

Published on 13 May 2017 - 19:10

274

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Finding rank-nullity of a given matices

Published on 14 May 2017 - 2:48

53

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Question about rank of matrix $2\times n$

Published on 16 May 2017 - 10:25

1.4k

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Let $A$ be a $n\times n$ matrix with entries $a_{ij}=i+j $ . Calculate rank of $A$

Published on 16 May 2017 - 20:00

824

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Find rank of $A$ with entries $a_{ij}=\min\{i,j\} , 1\leq i,j \leq n $.

Published on 16 May 2017 - 21:45

191

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rank of $A^3B^2A$ when $\mathrm{rank}(A)=\mathrm{rank}(B)=n$

Published on 16 May 2017 - 21:52

List Question

Spectral Decomposition Range

Find rank one linear combination of matrices

Product of a diagonal full rank matrix with an "almost" low rank matrix

Let $A$ be a $5 \times 5$ matrix such that $A^2=0$. Then how to compute the maximum rank for such A?

Rank of an Involutory Matrix

If $A^2 = I$, then $\operatorname{rank} (A+I) + \operatorname{rank} (A-I) =n$

About the rank of a solution of a matrix linear differential equation

Similarity of a one-rank matrix

Relationship between highest eigenvalue and rank of PSD matrix

If $\mathrm{rank}(A)+\mathrm{rank}(I_n-A)=n$, then $A^2=A.$

Finding rank-nullity of a given matices

Question about rank of matrix $2\times n$

Let $A$ be a $n\times n$ matrix with entries $a_{ij}=i+j $ . Calculate rank of $A$

Find rank of $A$ with entries $a_{ij}=\min\{i,j\} , 1\leq i,j \leq n $.

rank of $A^3B^2A$ when $\mathrm{rank}(A)=\mathrm{rank}(B)=n$

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