How can I make a variable that is a matrix correctly output another matrix in a symbolic function?

I ahve two 1x300 matrix variables that i need to plug into a function , but every time I solve it I end up with a 0x1 matrix. How can i fix this issue? I was also wondering if a for loop is more suitable for solving it. This is my code so far. Thank you

clear('all'),clc

p_rng = logspace(-2,2,300); % [MPa] pressure (p) range

t_rng = 273.15+linspace(1,800,300); % [K] temperature (T) range

a=40100;

b=1.60;

R=10.73159;

syms V

eqn1= p_rng==((R*t_rng)/(V-b))-((a)/((V*(V+b))+(b*(V-b))));

V=solve(eqn1,V);

Answer 1

[Surya Talluri]

I understand that you directly used 1x300 sized matrix to create the symbolic equation. I substituted the variables after rearranging the equation and then solved the equations.

syms V p_rng t_rng a b R
eqn1= ((R*t_rng)/(V-b))-((a)/((V*(V+b))+(b*(V-b)))) == p_rng;

eqn1 = collect(eqn1, V);
simple_eqn1 = simplify(eqn1)

As you can see that above equation contains 2 expressions, one of them is an expression which shows denominator is not equal to 0.

S = solve( simple_eqn1, V, 'ReturnConditions',true);

S = subs(S.V, {a, b, R, p_rng, t_rng}, {40100, 1.60, 10.73159, logspace(-2,2,300), 273.15+linspace(1,800,300)}); 

soluntion = vpa(S); 

You can refer to following documentation for further information:

• Solve - https://www.mathworks.com/help/symbolic/solve.html
• Subs - https://www.mathworks.com/help/symbolic/subs.html
• Functions for rearranging expressions - https://www.mathworks.com/help/symbolic/choose-function-to-rearrange-expression.html