Function Repository Resource:

# JacobianMatrix

Compute the Jacobian matrix of a vector function with respect to a list of variables

Contributed by: Wolfram|Alpha Math Team
 ResourceFunction["JacobianMatrix"][expr,{var1,var2,…}] computes the Jacobian matrix of the expression expr with respect to the given variables.

## Examples

### Basic Examples (6)

Compute the Jacobian matrix of an expression:

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Compute the Jacobian matrix of another expression:

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Compute the Jacobian matrix of another expression:

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Compute the Jacobian matrix of another expression:

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Compute the Jacobian matrix of another expression:

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Compute the Jacobian matrix of another expression:

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### Properties and Relations (3)

Compute the Jacobian matrix of an expression:

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Take the determinant of this result:

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Compare this to the result obtained using ResourceFunction["JacobianDeterminant"]:

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## Publisher

Wolfram|Alpha Math Team

## Version History

• 4.0.0 – 23 March 2023
• 3.1.0 – 12 May 2021
• 3.0.0 – 24 January 2020
• 2.0.0 – 06 September 2019
• 1.0.0 – 05 August 2019