Passing the numeric matrix to symbolic function

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I have created a function containing symbolic expressions. The expressions make use of a symbolic matrix. I want to solve the function passing the numeric matrix which replaces the symbolic matrix and provides a numeric answer. I can't seem to understand how to pass the numeric matrix.
function example
R= sym('R',[3 3])
r_b= R([1 2], [3])
R_bar= R([1 2], [1 2])
R_til=R([2 3],[2 3])
syms alpha_bar beta_bar
a_bar= [1;alpha_bar]
b_bar= [beta_bar;1]
P= sym(R_bar*a_bar)
Q= sym(R_til*b_bar)
syms E_a E_b
u_bar= [1; 0]
v_bar= [0;1]
W = sym(E_a*u_bar)
X= sym(E_b*v_bar)
C= sym(P==W)
D= sym(Q==X)
[alpha_bar_, E_a_] = solve(P==W,[alpha_bar,E_a])
[beta_bar_, E_b_] = solve(Q==X,[beta_bar,E_b])
a_bar= [1;alpha_bar_]
delta= (a_bar)'*r_b
gamma_b = delta/E_b_
gamma_a= delta/E_a_
a= [a_bar;0]-(gamma_b*[0;b_bar])
b= [0;b_bar]-gamma_a*[a_bar;0]
My R is R= [1 1 0; 1 3 2; 0 2 3].
Any help on this example would be deeply appreciated.
Thank You.

Accepted Answer

Karan Gill
Karan Gill on 14 Feb 2018
You're not passing any arguments to the function. To learn that, see function.
If you want a numerical result, instead of a symbolic solver like solve, use a numeric solver like vpasolve or fsolve.
Lastly, any numeric input can be converted to symbolic form by using sym(input).

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More Answers (1)

Walter Roberson
Walter Roberson on 14 Feb 2018
subs(a, R, NumericR)
and you might want to double() the results.
You need to avoid assigning a numeric value to R itself for this to work.
  1 Comment
Vishakha Ramani
Vishakha Ramani on 14 Feb 2018
I wanted to pass the numeric matrix from the command window. I passed the appropriate arguments to the function and it worked. Thank you so very much for the help.

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