How to find gradient of a vector field in matlab symbolic

I am trying to find gradient of a vector field in matlab symbolic , whose output will be matrix but it am getting error

[KSSV]

Copy your code here. Don't attach it as an screen shot/ image.

[Chandan]

clc ; clear all
syms x y z  
syms u(x,y,z) v(x,y,z) w(x,y,z)
V = [u v w];
S = [x y z];
gradient(u,S)

ans(x, y, z) = 

gradient(V,S)  % How to take gradient of vector field

Error using sym/gradient
Invalid argument at position 1. Argument must be scalar or a symbolic function with scalar formula.

Answer 1

[Walter Roberson]

The fundamental problem you are having is that gradient does not accept a vector the first parameter.

syms x y z  
syms u(x,y,z) v(x,y,z) w(x,y,z)
V = [u(x,y,z) v(x,y,z) w(x,y,z)];
S = [x y z];
temp = arrayfun(@(EXPR) gradient(EXPR,S), V, 'uniform', 0);
result(x,y,z) = [temp{:}]

result(x, y, z) = 

Answer 2

[Sulaymon Eshkabilov]

If you assign an expression for V, you will get this:

clc ; clearvars
syms x y z  
syms u(x,y,z) v(x,y,z) w(x,y,z)
V(x,y,z) = 2*u+3*v-w % Some e.g. expression                 

V(x, y, z) = 

S = [x y z];
du = gradient(u,S)

du(x, y, z) = 

dV = gradient(V,S)  

dV(x, y, z) = 

% OR simply
dV= gradient(V,[x,y,z]) 

dV(x, y, z) = 

[Dyuman Joshi]

V is not a combination of u, v and w, but an array with u, v and w as elements.

Answer 3

[Chandan]

% thanks for answer. It worked with the Jacobian too.

clc; clearvars;
syms x y z
syms u(x, y, z) v(x, y,z) w(x,y,z)

V = [u v w];
S = [x y z];

jacobian(V,S)

ans(x, y, z) =