Hi , I'm new with Mathematica and would like to know how to write transformation matrices (operators) that act on vectors (for tensor analysis). Or a Jacobinan-type matrix For example, a differential operator that acts on a column vector of functions: row 1: d[ ]/dx1 d[ ]/dx2 row 2: d[ ]/dx3 d[ ]/dx4
How can I do that in Mathematica? The regular linear algebra functions don't work. AUSP6
Have you tried the Wolfram Language documentation?
Linear algebra
For the Jacobian matrix you can use the derivative operator D with the following syntax:
vector = {x, x*z, x^2 - y}; variables = {x, y, z}; jacobianMatrix = D[vector, {variables}]; MatrixForm[jacobianMatrix]