List questions from matrix-rank

Published on 14 Apr 2026 - 16:17

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rank inequality for Hadamard product

Published on 10 May 2026 - 12:37

158

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How can show the matrix is rank one?

Published on 10 May 2026 - 20:02

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

Published on 16 Apr 2026 - 10:58

468

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Relationship between rank of binary matrix and the NOT operator

Published on 10 Apr 2026 - 2:04

608

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A matrix whose column is a power of each other

Published on 10 Apr 2026 - 17:46

126

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

Published on 11 May 2026 - 1:11

164

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Is union of matrices of different ranks a submanifold?

Published on 10 May 2026 - 11:45

67

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

Published on 03 May 2026 - 17:33

129

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

Published on 16 Apr 2026 - 7:16

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

Published on 10 May 2026 - 16:12

62

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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 15 Apr 2026 - 23:41

298

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

Published on 20 Apr 2026 - 7:45

70

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How to find values of a matrix to make it consistent

Published on 13 Apr 2026 - 10:12

171

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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 Apr 2026 - 12:33

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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