Pfaffian

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At a glance

Class

Notion

Domain

Science and technology

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What Wikipedia says

In mathematics, the determinant of an m-by-m skew-symmetric matrix can always be written as the square of a polynomial in the matrix entries, a polynomial with integer coefficients that only depends on m. When m is odd, the polynomial is zero, and when m is even, it is a nonzero polynomial of degree m/2, and is unique up to multiplication by ±1.

Excerpt from the Wikipedia article “Pfaffian”, under the CC BY-SA 4.0 license. Read the article on Wikipedia

Image: unknown, Public domain, via Wikimedia Commons.