MATLAB: 3 equations 4 unknowns

Question

hello,

How do you make a matrix M 3×3 so the system is =k.MX (with X a 3×1 matrix [x,y,z] I think.)

x=k.(1.y+6.z)

y=k.(4.x+4z)

z=k.(0.x+1.y)

Answer 1

%x=k.(1.y+6.z)
%y=k.(4.x+4z)
%z=k.(0.x+1.y)
syms x y z k
X = [x; y; z];
eqn = X == k * [0 1 6; 4 0 4; 0 1 0] * X
eqn = 
sol = solve(eqn, [x, y, z])
sol = struct with fields:
    x: [1×1 sym]
    y: [1×1 sym]
    z: [1×1 sym]
sol.x
ans = 
0
sol.y
ans = 
0
sol.z
ans = 
0