List questions from matrix-rank

Published on 13 Jun 2022 - 7:32

75

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Dimension of a standard polyhedron

Published on 01 Apr 2026 - 4:28

75

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Prove that positive definite matrices are nonsingular

Published on 21 Jun 2022 - 0:13

252

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Proving rank deficiency of a matrix whose elements are given by trigonometric functions

Published on 24 Jun 2022 - 16:02

81

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Tensor rank of matrix $M = \sum_{i = 1}^k w_i (v_i \otimes v_i)$

Published on 28 Jun 2022 - 8:00

58

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What effect does the parity of the rank have on the eigenvalues?

Published on 29 Jun 2022 - 13:29

64

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Rank of linear transformation from $M_{n×p}(\mathbb{R})$ to $M_{m×p}(\mathbb{R})$

Published on 03 Jul 2022 - 16:11

246

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Why is the matrix $x y^T$ rank one?

Published on 23 Feb 2026 - 12:32

69

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Matrices and Rank with an unknown variable

Published on 05 Jul 2022 - 10:45

97

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If $AD+BD=CD$, is $A+B=C$?

Published on 08 Jul 2022 - 22:06

121

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Rank of a matrix using quadratic forms

Published on 28 Feb 2026 - 3:02

51

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The property of symmetric matrices and Euclid inner product, about rank.

Published on 17 Jul 2022 - 11:37

93

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Trace of $x(x^\top x)^{-1}x^\top$

Published on 18 Jul 2022 - 11:56

53

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Finding the rank of a matrix whose entries depend on a parameter

Published on 20 Jul 2022 - 15:50

234

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$A$ is an $n$ by $n$ matrix over $\mathbb C$ such that $Rank(A)=1$ and $Tr(A)=0$, prove that $A^2=0$

Published on 28 Mar 2026 - 10:24

List Question

Recursive system unique solution

Dimension of a standard polyhedron

Prove that positive definite matrices are nonsingular

Proving rank deficiency of a matrix whose elements are given by trigonometric functions

Tensor rank of matrix $M = \sum_{i = 1}^k w_i (v_i \otimes v_i)$

What effect does the parity of the rank have on the eigenvalues?

Rank of linear transformation from $M_{n×p}(\mathbb{R})$ to $M_{m×p}(\mathbb{R})$

Why is the matrix $x y^T$ rank one?

Matrices and Rank with an unknown variable

If $AD+BD=CD$, is $A+B=C$?

Rank of a matrix using quadratic forms

The property of symmetric matrices and Euclid inner product, about rank.

Trace of $x(x^\top x)^{-1}x^\top$

Finding the rank of a matrix whose entries depend on a parameter

$A$ is an $n$ by $n$ matrix over $\mathbb C$ such that $Rank(A)=1$ and $Tr(A)=0$, prove that $A^2=0$

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