Nullity theorem
id:
nullity-theorem-295-12710418
title:
Nullity theorem
text:
The nullity theorem is a mathematical theorem about the inverse of a partitioned matrix, which states that the nullity of a block in a matrix equals the nullity of the complementary block in its inverse matrix. Here, the nullity is the dimension of the kernel. The theorem was proven in an abstract setting by Gustafson (1984), and for matrices by. Partition a matrix and its inverse in four submatrices: The partition on the right-hand side should be the transpose of the partition on the left-hand
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wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Nullity_theorem
date created:
date modified:
2021-05-06T20:51:03Z
main entity:
{"identifier":"Q7069004","url":"https://www.wikidata.org/entity/Q7069004"}
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fields total:
13
integrity:
13