Finding Solutions to Complex Linear Systems

[3.14159265358979]

Find the solution in C to the following linear system of equations.

(a) (1-i)z + 4w = 2 + 8i
(b) 3z + (1+i)w = 1 + 5i

I tried expanding but that didn't get me anywhere. Then i put it in a matrix, but i didn't know how to go from there. Any suggestions? Thanks.

 

[arildno]

1.Multiply your first equation with 3/2*(1+i)
You should then have 3z in both equations.
2. Then subtract the first from the second and solve for w.
3) Don't bother to expand brackets until you've solved for w and z

 

[Hurkyl]

Don't be intimidated by the complex numbers. You would solve this problem exactly as you would if there were only real numbers involved.

For instance, in the first equation, the coefficient on z is simply the (single!) number (1 - i). So, if when solving systems of equations, you like to divide through by the leading coefficient, then you would do so, by dividing through by (1 - i).

 

[3.14159265358979]

thanks guys...i think i got it...