List questions from matrix-rank

Published on 29 May 2018 - 10:52

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rank inequality for Hadamard product

Published on 17 Mar 2026 - 7:04

156

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How can show the matrix is rank one?

Published on 22 Mar 2026 - 1:16

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Prove that $\text{rank}(X^TX)=\text{rank}(X)$

Published on 04 Jun 2018 - 16:30

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Relationship between rank of binary matrix and the NOT operator

Published on 05 Jun 2018 - 18:32

605

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A matrix whose column is a power of each other

Published on 10 Jun 2018 - 12:57

122

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Is the projective space over matrices of rank bigger than $k$ compact?

Published on 11 Jun 2018 - 5:59

156

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Is union of matrices of different ranks a submanifold?

Published on 22 Mar 2026 - 18:54

60

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Is the image of the map $A \to \bigwedge^{k}A $ from matrices of a given rank closed?

Published on 22 Mar 2026 - 23:37

126

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$\operatorname{rank}(A+B) \le \operatorname{rank}(A) + \operatorname{rank}(B)$

Published on 13 Jun 2018 - 3:24

909

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Shouldn't the trace of an orthogonal projector be in $\mathbb{N}$?

Published on 14 Jun 2018 - 9:52

59

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Proving that if $L(\vec{v}_1),\ldots,L(\vec{v}_k)$ spans $W$ that $\dim(V) \geq \dim(W)$

Published on 14 Jun 2018 - 16:20

294

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$n - \mathrm{rank}\,\ A \ge \mathrm{rank}\,\ A - \mathrm{rank}\,\ A^2$

Published on 14 Jun 2018 - 18:59

67

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How to find values of a matrix to make it consistent

Published on 16 Jun 2018 - 8:53

168

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Deduction of eigenvalues of the matrix $A$ which satisfies $x^t A A^t x = \alpha x^t x$?

Published on 16 Jun 2018 - 12:43

List Question

Finding the probability that the matrix has full rank

rank inequality for Hadamard product

How can show the matrix is rank one?

Prove that $\text{rank}(X^TX)=\text{rank}(X)$

Relationship between rank of binary matrix and the NOT operator

A matrix whose column is a power of each other

Is the projective space over matrices of rank bigger than $k$ compact?

Is union of matrices of different ranks a submanifold?

Is the image of the map $A \to \bigwedge^{k}A $ from matrices of a given rank closed?

$\operatorname{rank}(A+B) \le \operatorname{rank}(A) + \operatorname{rank}(B)$

Shouldn't the trace of an orthogonal projector be in $\mathbb{N}$?

Proving that if $L(\vec{v}_1),\ldots,L(\vec{v}_k)$ spans $W$ that $\dim(V) \geq \dim(W)$

$n - \mathrm{rank}\,\ A \ge \mathrm{rank}\,\ A - \mathrm{rank}\,\ A^2$

How to find values of a matrix to make it consistent

Deduction of eigenvalues of the matrix $A$ which satisfies $x^t A A^t x = \alpha x^t x$?

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