I have a Jacobian function:
D[{Sqrt[x^2 + y^2], ArcTan[x, y]}, {{x, y}}]
It gives me a matrix with the formulas I need for my transposition matrix:
{{x/Sqrt[x^2 + y^2], y/Sqrt[x^2 + y^2]}, {-(y/(x^2 + y^2)), x/(x^2 + y^2)}}
How do I turn this into a formula that will give me values (the basis vectors) at a given value of $r$ and $\theta$? (e.g. f[{0.3,0.5}] = {{0.514496, 0.857493}, {-1.47059, 0.882353}}
)
CoordinateTransformData["Cartesian" -> "Polar", "MappingJacobian"]
returns a pure function you can evaluate on vector arguments. $\endgroup$ – J. M. will be back soon♦ Nov 15 at 0:08