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

• Jan 11th 2012, 09:50 PM
Reefer
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.
• Jan 11th 2012, 11:34 PM
princeps
Re: How to solve this complex linear system with Gaussian Elimination?
Quote:

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 $2i$ and the second equation by $(1+i)$

then add equations to eliminate variable $x$ .
• Jan 11th 2012, 11:57 PM
Reefer
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.