Problem:
Find the jacobian of the vector valued function $\begin{pmatrix} f(x,y,z)\\ g(x,y,z) \\ h(x,y,z)\end{pmatrix}$ where $f(x,y,z) = x$, $g(x,y,z) = x+y$, and $h(x,y,z) = z^2$
Answer:
$\left(
\begin{array}{ccc}
 1 & 0 & 0 \\
 1 & 1 & 0 \\
 0 & 0 & 2 z \\
\end{array}
\right)$
{'source': 'AMPS', 'file': 'amps/mathematica/calculus/jacobian/30186.txt'}