List questions from skew-mapping

31

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Prove that the characteristic polynmial of a skew mapping satisfies $c(-\lambda) = (-1)^n c(\lambda)$

Published on 22 Feb 2026 - 23:37

366

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how is the rank of a skew map is even ?

Published on 22 Feb 2026 - 23:40

92

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Can any linear map, $\phi$, can be expressed a as $\phi = S + N - N^T,$ where $S$ is a self-adjoint and $N$ is a nilpotent map

Published on 23 Feb 2026 - 1:41

822

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How to prove that every real skew-symmetric matrix is congruent to a block diagonal matrix by using bilinear forms?

Published on 23 Feb 2026 - 1:43

67

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Skew-symmetric dimension

Published on 23 Feb 2026 - 1:37

392

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Showing measure is invariant/ergodic for a skew product.

Published on 23 Feb 2026 - 1:42

122

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Where does this proof of ergodicity fail?

Published on 23 Feb 2026 - 1:37

969

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ergodicity of irrational rotation of product

Published on 23 Feb 2026 - 1:42

179

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Projecting 8D dataset on onto skew coordinates

Published on 23 Feb 2026 - 1:37

57

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Distance between varying skew lines

Published on 23 Feb 2026 - 1:36

733

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The normal form of a skew symmetric matrix

Published on 23 Feb 2026 - 1:42

104

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What is the geometric interpretation of the action of a degenerate real skew-symmetric matrix?

Published on 23 Feb 2026 - 3:31

54

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Closed form for a multilinear skew-symmetric map applied in sums?

Published on 23 Feb 2026 - 3:27

44

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On Marsden's 'Introduction to Mechanics and Symmetry' Exercise 1.3-1.

Published on 23 Feb 2026 - 3:29

32

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A question related to a skew-symmetric map on a finite-dimensional vector space

Published on 23 Feb 2026 - 3:30

List Question

Prove that the characteristic polynmial of a skew mapping satisfies $c(-\lambda) = (-1)^n c(\lambda)$

how is the rank of a skew map is even ?

Can any linear map, $\phi$, can be expressed a as $\phi = S + N - N^T,$ where $S$ is a self-adjoint and $N$ is a nilpotent map

How to prove that every real skew-symmetric matrix is congruent to a block diagonal matrix by using bilinear forms?

Skew-symmetric dimension

Showing measure is invariant/ergodic for a skew product.

Where does this proof of ergodicity fail?

ergodicity of irrational rotation of product

Projecting 8D dataset on onto skew coordinates

Distance between varying skew lines

The normal form of a skew symmetric matrix

What is the geometric interpretation of the action of a degenerate real skew-symmetric matrix?

Closed form for a multilinear skew-symmetric map applied in sums?

On Marsden's 'Introduction to Mechanics and Symmetry' Exercise 1.3-1.

A question related to a skew-symmetric map on a finite-dimensional vector space

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