find the Jacobian matrix of R^3__R^2 w=3x^yz i +6xyz^2 j

Question

find the Jacobian matrix of  R^3__R^2  w=3x^yz i +6xyz^2 j

anonymous · Answer

$$\left(
\begin{array}{ccc}
 6 x y z & 3 x^2 z & 3 x^2 y
   \
 6 y z^2 & 6 x z^2 & 12 x y z
   \
 
\end{array}
\right)

$$

anonymous · Answer

could you explaint to me the process please

anonymous · Answer

I read the coefficient of i as  3 x^2 y z
That is not what you wrote.
Is it  3 x^2 y z?

anonymous · Answer

true thanks anyway...but would you mind to explain to me

anonymous · Answer

If a field is given by F=(f,g,h)
The first row is gradient of f
the second row is the gradient of g
the third row is the gradient of h
In your case h=0 and the third wow if you want to add it is 0 0 0