Solving systems of equations with complex numbers

juicev85
Messages
13
Reaction score
0
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
 
Mathematics news on Phys.org
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.
 
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
Fermat's Last Theorem has long been one of the most famous mathematical problems, and is now one of the most famous theorems. It simply states that the equation $$ a^n+b^n=c^n $$ has no solutions with positive integers if ##n>2.## It was named after Pierre de Fermat (1607-1665). The problem itself stems from the book Arithmetica by Diophantus of Alexandria. It gained popularity because Fermat noted in his copy "Cubum autem in duos cubos, aut quadratoquadratum in duos quadratoquadratos, et...
Thread 'Imaginary Pythagorus'
I posted this in the Lame Math thread, but it's got me thinking. Is there any validity to this? Or is it really just a mathematical trick? Naively, I see that i2 + plus 12 does equal zero2. But does this have a meaning? I know one can treat the imaginary number line as just another axis like the reals, but does that mean this does represent a triangle in the complex plane with a hypotenuse of length zero? Ibix offered a rendering of the diagram using what I assume is matrix* notation...

Similar threads

3
Replies
108
Views
10K
Replies
7
Views
761
Replies
7
Views
2K
Replies
10
Views
952
Replies
7
Views
4K
Back
Top