Matrix exponential
id:
matrix-exponential-171-13007707
title:
Matrix exponential
text:
In mathematics, the matrix exponential is a matrix function on square matrices analogous to the ordinary exponential function. It is used to solve systems of linear differential equations. In the theory of Lie groups, the matrix exponential gives the exponential map between a matrix Lie algebra and the corresponding Lie group. Let X be an n×n real or complex matrix. The exponential of X, denoted by eX or exp(X), is the n×n matrix given by the power series e X = ∑ k = 0 ∞ 1 k! X k where X 0 is de
brand slug:
wiki
category slug:
encyclopedia
description:
Matrix operation generalizing exponentiation of scalar numbers
original url:
https://en.wikipedia.org/wiki/Matrix_exponential
date created:
2004-05-22T19:02:37Z
date modified:
2024-09-01T14:13:48Z
main entity:
{"identifier":"Q1191722","url":"https://www.wikidata.org/entity/Q1191722"}
image:
fields total:
13
integrity:
15