Wow, thank you! Yes my hand calculation, my calculator, and wolframalpha all agree! Replacing x = a + bi and y = c + di and removing the "i"s are what helped. Thank you!
If it were a system with 3 original equations and unknowns, you'd replace:
x=a+bi
y=c+di
z=e+fi
...and so on
So that comes out to be (if I did it right):
a-b+2c-d=5
3a-2b+4c-d=10
2ai+3bi+ci+4di=0i
ai+bi+2di+ci=0i
What should I do after that? Maybe this can't be done with my calculator and the only way to do this is with Gaussian elimination?
What I'm ultimately getting at here is: How can I solve a system of equations with 3 unknowns and complex numbers with my TI-84 plus Silver Edition calculator. Regular 3x3 matrices with no complex numbers are easy enough to do on there. But I have no idea how I would do it with complex numbers...
Yeah I know, but I encounter systems with 3 equations and 3 unknowns, sometimes 4. Like I said, making the substitution wouldn't be practical for those. I'm just using a system with 2 equations as an easy example.
Mod note: This thread was moved from a technical math section, so doesn't include the homework template.
I know this has been asked before, but none of the other posts have helped me. I cannot for the life of me figure out how to solve a system of equations with complex numbers. Here is a very...