Question

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

Answer 1

\[\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)

\]

Answer 2

could you explaint to me the process please

Answer 3

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?

Answer 4

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

Answer 5

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