# Thread: How to solve this complex linear system with Gaussian Elimination?

1. ## How to solve this complex linear system with Gaussian Elimination?

Well here is my functions:

ix + (1+i)y = 2+3i
(1-i)x +iy = 3+2i

Do I solve this by doing a row reduction?

Also how do I solve it with complex numbers? I can do it without complex, but now I'm confused.

2. ## Re: How to solve this complex linear system with Gaussian Elimination?

Originally Posted by Reefer
Well here is my functions:

ix + (1+i)y = 2+3i
(1-i)x +iy = 3+2i

Do I solve this by doing a row reduction?

Also how do I solve it with complex numbers? I can do it without complex, but now I'm confused.
Multiply first equation by $\displaystyle 2i$ and the second equation by $\displaystyle (1+i)$

then add equations to eliminate variable $\displaystyle x$ .

3. ## Re: How to solve this complex linear system with Gaussian Elimination?

It states by Gaussian Elimination, so to row reduce it.

What I don't know how to do is how to row reduce linear system with complex numbers in them.