Weinstein–Aronszajn identity
id:
weinstein-aronszajn-identity-307-1270004
title:
Weinstein–Aronszajn identity
text:
In mathematics, the Weinstein–Aronszajn identity states that if A and B are matrices of size m × n and n × m respectively then,
provided A B is of trace class, where I k is the k × k identity matrix. It is closely related to the matrix determinant lemma and its generalization. It is the determinant analogue of the Woodbury matrix identity for matrix inverses.
brand slug:
wiki
category slug:
encyclopedia
description:
For two suitable matrices, A and B, I+AB and I+BA have the same determinate
original url:
https://en.wikipedia.org/wiki/Weinstein%E2%80%93Aronszajn_identity
date created:
date modified:
2023-07-06T09:02:18Z
main entity:
{"identifier":"Q7660749","url":"https://www.wikidata.org/entity/Q7660749"}
image:
fields total:
13
integrity:
14