How to solve equations in variable terms?

I wanted to find equation solving a, b, c, and d in terms of e, f, g, and h. Is it possible to do this in MATLAB? Here's my code for the moment.

clc
clear all
syms a b c d e f g h alpha

A = [a b; c d];
R = [cos(alpha) -sin(alpha); sin(alpha) cos(alpha)];
D = (R*A)*transpose(R);

e=D(1,1)

e = 

f=D(1,2)

f = 

g=D(2,1)

g = 

h=D(2,2)

h = 

eqn=[e f g h];
solver=solve(eqn,[a b c d])

solver = struct with fields:
    a: 0
    b: 0
    c: 0
    d: 0

Answer 1

[Dyuman Joshi]

syms a b c d e f g h alpha

A = [a b; c d];
R = [cos(alpha) -sin(alpha); sin(alpha) cos(alpha)];
D = (R*A)*transpose(R);

%Modify the equations
eq1 = e-D(1,1)==0;
eq2 = f-D(1,2)==0;
eq3 = g-D(2,1)==0;
eq4 = h-D(2,2)==0;

eqn=[eq1 eq2 eq3 eq4];
solver=solve(eqn,[a b c d])

solver = struct with fields:
    a: (e*cos(alpha)^2 + h*sin(alpha)^2 + f*cos(alpha)*sin(alpha) + g*cos(alpha)*sin(alpha))/(cos(alpha)^2 + sin(alpha)^2)^2
    b: (f*cos(alpha)^2 - g*sin(alpha)^2 - e*cos(alpha)*sin(alpha) + h*cos(alpha)*sin(alpha))/(cos(alpha)^2 + sin(alpha)^2)^2
    c: (g*cos(alpha)^2 - f*sin(alpha)^2 - e*cos(alpha)*sin(alpha) + h*cos(alpha)*sin(alpha))/(cos(alpha)^2 + sin(alpha)^2)^2
    d: (h*cos(alpha)^2 + e*sin(alpha)^2 - f*cos(alpha)*sin(alpha) - g*cos(alpha)*sin(alpha))/(cos(alpha)^4 + sin(alpha)^4 + 2*cos(alpha)^2*sin(alpha)^2)

[yehuda kristo]

Oh okay it needs to be specified that way. Thanks Sir