Solving a system of equations involving complex numbers
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The following code outputs a value for a and b with respect to the imaginary number i but the output is not fully simplified with the complex and real part separately factored. Is there a way to modify the code so it is of the form a+bi where a and b are rounded to a certain number of decimal places? This would ensure that the real and complex parts are each only one number rather than the sum of a radical and a rational numbers.
syms X Y Q t w v a b z c N theta m L g
eq1 = b-a == 10*(cosd(45)+i*sind(45));
eq2 = 3 == (a-b)/4+a*i/3 + b/(6*i)+b/12;
sol = solve([eq1 eq2], [b a]); %[a b c] = [theta' theta'' x'']
sol_b = simplify(sol.b)
solb = sol.b
1 Comment
BALAJI KARTHEEK
on 21 Apr 2020
The ans is in the form of cells, conversion of cells to arrays will give you the required results..
Accepted Answer
Ameer Hamza
on 21 Apr 2020
Edited: Ameer Hamza
on 21 Apr 2020
Try vpasolve()
syms X Y Q t w v a b z c N theta m L g
eq1 = b-a == 10*(cosd(45)+1i*sind(45));
eq2 = 3 == (a-b)/4+a*1i/3 + b/(6*1i)+b/12;
sol = vpasolve([eq1 eq2], [b a]); %[a b c] = [theta' theta'' x'']
Result
>> sol.a
ans =
18.513708498984760390413509793678 - 8.7431457505076198047932451031612i
>> sol.b
ans =
25.584776310850235634421953414726 - 1.6720779386421445607848014821127i
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