Solve the system of linear equations in complex numbers:

How would I do this?

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- Jan 17th 2009, 03:13 AMronaldo_07[SOLVED] Linear Equation
Solve the system of linear equations in complex numbers:

How would I do this? - Jan 17th 2009, 03:53 AMmr fantastic
- Jan 17th 2009, 09:09 AM1234567
you can easily solve linear equations like this 1 with Gaussian elimination

- Jan 17th 2009, 09:18 AMTheMasterMind
- Jan 17th 2009, 09:31 AMronaldo_07
- Jan 17th 2009, 12:06 PMrunning-gag
- Jan 17th 2009, 01:07 PMronaldo_07
I am still unsure as to how to solve this.

If I put the real and imaginary numbers together I would get

But I do not see how I can solve this with these solutions. - Jan 17th 2009, 02:55 PMmr fantastic
I understood them as two seperate problems and I did the first. Implicit in that is that x and y are both real (which is the usual convention).

If they are meant to be solved simultaneously then x and y are not real. You need to provide clarification: are they two seperate questions (x and y are real) or a single question (x and y are not real). - Jan 17th 2009, 03:15 PMronaldo_07
Both equations are one It is a "system of linear equations" I think you use matrices to solve but im not sure how to when it has complex numbers.

- Jan 17th 2009, 03:37 PMmr fantastic
- Jan 17th 2009, 03:39 PMronaldo_07
Im not sure how to do it as if it was real as I dont know what to do when there is i values

- Jan 17th 2009, 03:50 PMmr fantastic
- Jan 17th 2009, 04:03 PMronaldo_07

Is this correct? - Jan 17th 2009, 04:06 PMmr fantastic
- Jan 17th 2009, 05:32 PMronaldo_07

=

After this it gets really messy and I am unable to get a solution. (Worried)