# How to calculate Jacobian matrix of a vector function using "IntervalArithmetic.jl" package?

**URL:** <https://discourse.julialang.org/t/how-to-calculate-jacobian-matrix-of-a-vector-function-using-intervalarithmetic-jl-package/93400>\
**Category:** General Usage\
**Tags:** question, package\
**Created:** [January 23, 2023, 12:41pm UTC](https://discourse.julialang.org/t/how-to-calculate-jacobian-matrix-of-a-vector-function-using-intervalarithmetic-jl-package/93400 "2023-01-23T12:41:36Z")\
**Posts on this page:** 2\
**Page:** 1

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**Author:** ![Kanishk](https://sea2.discourse-cdn.com/julialang/user_avatar/discourse.julialang.org/kanishk/32/46224_2.png) [@Kanishk](https://discourse.julialang.org/u/Kanishk)\
**Post date:** [January 23, 2023, 12:41pm UTC](https://discourse.julialang.org/t/how-to-calculate-jacobian-matrix-of-a-vector-function-using-intervalarithmetic-jl-package/93400/1 "2023-01-23T12:41:36Z")

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Hello

Could you please help me to find out how to calculate the Jacobian matrix of below mentioned function using “IntervalArithmetic.jl” package in Julia.

```julia
using IntervalArithmetic, Plots, ForwardDiff
function model(x, p)
		x, y, z = x #variables
		a, b, c = p #interval parameters
		return [ax+y, x+by+z, x+cz]
	end
	
a = (1..2)
b = (2..3)
c = (3..4)

```

Thank you

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<div class="post-metadata">

**Author:** ![Dan](https://sea2.discourse-cdn.com/julialang/user_avatar/discourse.julialang.org/dan/32/42581_2.png) [@Dan](https://discourse.julialang.org/u/Dan)\
**Post date:** [January 23, 2023, 10:06pm UTC](https://discourse.julialang.org/t/how-to-calculate-jacobian-matrix-of-a-vector-function-using-intervalarithmetic-jl-package/93400/2 "2023-01-23T22:06:01Z")

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There’s an answer in the StackOverflow question you asked:  
[https://stackoverflow.com/questions/75208555/how-to-find-a-jacobian-matrix-of-a-vector-function-in-julia-using-intervalarith](https://stackoverflow.com/questions/75208555/how-to-find-a-jacobian-matrix-of-a-vector-function-in-julia-using-intervalarith)