Solve system of equations with complex coefficients and conversions to polar angle form
I've tried using a matrix and linsolve to solve a 3-variable system of equations that has complex numbers eg (1+i) as coeefficients. I can reduce it down to a complex polynomial but my answers won't convert to polar. How do I make these conversions for a whole matrix and how might I go about making a program that will do it for me. NOTES: RREF or solve of matrix with complex numbers and or phasors ti nspire
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My two cents worth.
You surely can solve a system of 3 equations by hand using Cramer's rule. Get your three solutions in complex form.
Get rid of any complex factor in the denominator by multiplying numerator and denominator by the conjugate of the factor. After you do that the imaginary unit (i) will be present in the numerator only. Use the ratio Imaginary part / Real part to get the tangent of the angle. Add Pi to the angle depending on the signs of the real and imaginary parts.