Solving systems of equations with complex numbers

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To solve systems of linear equations involving complex numbers, one can treat the equations similarly to those with real coefficients. The process involves using standard methods such as substitution or elimination without needing to separate real and imaginary parts. Some participants noted that the approach remains consistent regardless of whether the coefficients are complex or real. There was a request for more detailed guidance, but it was emphasized that the methods do not change significantly. Understanding that complex coefficients can be handled like real ones simplifies the solving process.
juicev85
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I can easily solve systems of equations with no complex numbers, could somebody give a short overview of the easiest way to do this by hand.

thanks
 
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juicev85 said:
I can easily solve systems of equations with no complex numbers, could somebody give a short overview of the easiest way to do this by hand.

thanks

I'm guessing from your statement about easily solving that you mean linear systems. In that case, you can split the real and imaginary parts apart and get two separate sets of equations each of which can be solved (as real systems).
 
yes, i need to be able to solve a system of linear equations which include complex numbers. The method you described sounds perfect, is there any way I could get a little more detail?
 
juicev85 said:
yes, i need to be able to solve a system of linear equations which include complex numbers. The method you described sounds perfect, is there any way I could get a little more detail?

Not to my knowledge. I can't figure out what more you might want.
 
Linear equations with complex coefficients can be solved in precisely the same manner as linear equations with real coefficients.
There is no need to split up in real&complex parts.
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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