jacobian

[ˌdʒeɪkəʊˈbiːən]

jacobian Definition

a mathematical matrix or system of matrices used to represent the derivatives of the variables of one function with respect to another.

Using jacobian: Examples

Take a moment to familiarize yourself with how "jacobian" can be used in various situations through the following examples!

  • Example

    The Jacobian matrix is used in calculus and differential equations to solve problems involving multiple variables.

  • Example

    The Jacobian determinant is a scalar value that can be used to determine whether a transformation changes the orientation of a shape.

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Summary: jacobian in Brief

A 'Jacobian' [ˌdʒeɪkəʊˈbiːən] is a mathematical matrix or system of matrices used to represent the derivatives of the variables of one function with respect to another. It is commonly used in calculus and differential equations to solve problems involving multiple variables, such as the Jacobian determinant which can determine whether a transformation changes the orientation of a shape.