MATLAB: Simultaneous equations with four knowns four unknowns

equationMATLABsimultaneous

I have a set of four simultaneous equations

I know the variables

s'12
s'66
s'22
s'11

and wish to know

a1
a2
k1
k2

kind regards

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MATLAB: Solving equation with four unknowns

You need to explore the solutions in detail:

aa=1.5; 
m=(0.5)^(aa);
syms  x y w z z1 z2 
S=solve([x^2+y^2+z^2+w^2==m, x+y+z+w==1],[x y z w],'ReturnConditions',true)
X = solve(S.x,[z1,z2]);
Roots = vpa(X.z1)

produces:

Roots =
 0.5 + 0.27059805007309849219986160268319i
 0.5 - 0.27059805007309849219986160268319i

These are ‘z1’ and ‘z2’, the two roots of your equation.

MATLAB: Solving four equations with four unknowns in MATLAB

When you ask a question, it help that you add sufficient information for someone to know your problem without a guess. What did it do that you felt was wrong? If an error message was generated, then show the complete message.

I might point out that fragments like 34.78R1 are not valid syntax in MATLAB. Multiplication employs the * operator.

Beyond that, it seems clear that your equations form a linear system once they are logged. Since you have 4 equations in 4 unknowns, a linear system will yield an exact answer. So backslash would trivially suffice.

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MATLAB: Solving equation with four unknowns

MATLAB: Solving four equations with four unknowns in MATLAB

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