Matrices of the derivative of vectors with respect to vectors (Jacobians) take a specific form:

Here, note that

- each
**column** is the partial of f with respect to one **component** , whereas
- each
**row** is the partial of with respect to the . That is, **the rows ‘cover’ the range of f**.

You can then **easily remember that C: the columns are components (of the inputs), and R: the rows cover the ranges**.

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