Jacobian matrix and determinant

id: jacobian-matrix-and-determinant-184-2534332
title: Jacobian matrix and determinant
text: In vector calculus, the Jacobian matrix of a vector-valued function of several variables is the matrix of all its first-order partial derivatives. When this matrix is square, that is, when the function takes the same number of variables as input as the number of vector components of its output, its determinant is referred to as the Jacobian determinant. Both the matrix and the determinant are often referred to simply as the Jacobian in literature. They are so named after Carl Gustav Jacob Jacobi
brand slug: wiki
category slug: encyclopedia
description: Matrix of all first-order partial derivatives of a vector-valued function
original url: https://en.wikipedia.org/wiki/Jacobian_matrix_and_determinant
date created: 2003-03-12T21:09:14Z
date modified: 2024-09-07T05:00:10Z
main entity: {"identifier":"Q506041","url":"https://www.wikidata.org/entity/Q506041"}
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fields total: 13
integrity: 15

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