# Creating a Simbolic vector and setting assumptions on it

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Hi,
I'm trying to build a symbolic vector with variable dimension N, and I would like it to be real...
I managed to build the vector with the desired lenght throug str2sym, but I don't know how to set assumption "real" on its variables.
(I would like to use this vector for a linear system).
stot2=[' '];
for i=1:N
A = i;
s1=sprintf(' u%d, ',A);
s2=sprintf(' v%d, ',A);
s3=sprintf(' w%d ',A);
stot2=strcat(stot2, s1, s2, s3);
end
U1=['[' stot2 ']'];
U=str2sym(U1)
Thanks for any help!

Walter Roberson on 12 Aug 2019
u = sym('u', [1 N], 'real');
v = sym('v', [1 N], 'real');
w = sym('w', [1 N], 'real');
U = [u, v, w];

thanks!
This work. But I want the count for each triplet u,v,w in the final vector:
u1, v1, w1, u2, v2, w2, u3, v3, w3
How would you do this?
madhan ravi on 13 Aug 2019
reshape([u;v;w],1,[])
thanks, it works perfectly!

Divya Gaddipati on 12 Aug 2019
You can declare assumptions on symbolic variables using the assume function from the Symbolic Math Toolbox. For more information on how to use this function, refer to this link.
In your code, since “U” is a sym object, you can directly loop over U and set each of the variable to real.
for i = 1 : length(U)
assume(U(i), 'real');
end

#### 1 Comment

Walter Roberson on 12 Aug 2019
Yes, but there is no need to loop:
assume(U, 'real');