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Geometry/Simultaneous Equations Having Complex Numbers

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Question
Dear Prof Azeem

Can Simultaneous equations have complex numbers and can be solved?

Example

(1+2i)x+(2-3i)y=3
(3+2i)x-(4+2i)y=2

Thanks
Prashant

Answer
Hi Prashant,

Simultaneous equations with complex numbers can be solved using some of the techniques you would use for real systems (substitution, elimination, matrix inversion...).  Just be sure you are comfortable with the division of complex numbers.

Regards,
Azeem

Geometry

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Azeem Hussain

Expertise

I welcome your questions on algebra, 2D and 3D geometry, parabolic functions and conic sections, and any other mathematical queries you may have.

Experience

4 years as a drop-in and by-appointment tutor at Champlain College. Private tutor for dozens of clients over the past 8 years.

Publications
CALPHAD: Computer Coupling of Phase Diagrams and Thermochemistry

Education/Credentials
Bachelor of Science, Major Mathematics and Major Economics, McGill University, 2014. Diploma of Collegiate Studies; Pure and Applied Science, Champlain College Saint-Lambert, 2010.

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