Matrix row reduce, with complex numbers

Question

anonymous · Answer

hey guys, please see the image attached below. I am not sure how to go from the first step, to the second step.

anonymous · Answer

Divide the second row by 4 and switch with the first.

anonymous · Answer

derp.!

anonymous · Answer

how do you get rid o the first row?

anonymous · Answer

hmm

anonymous · Answer

It is very odd...

anonymous · Answer

never done one of these complex matrix's before. so ye, i agree

anonymous · Answer

this is wolframs solution http://www5a.wolframalpha.com/Calculate/MSP/MSP12791fdb75032b55aca6000038dh17eci960d6f3?MSPStoreType=image/png&s=46&w=418&h=767

anonymous · Answer

haha, ok wolframs huh! I don't think that will help. But I got to solve it anyways.

anonymous · Answer

The steps in wolframs also work but they are different.

anonymous · Answer

ye, got no clue

anonymous · Answer

Maily because wolfram is still a rigid Artificial Intelligence.

anonymous · Answer

*mainly

anonymous · Answer

The last step is actually very straight forward. You subtract the first row times -2+4i from the second row to try to "zero" the first element. But in the end the second element also turns to 0.

anonymous · Answer

is that from the second step to the last?

anonymous · Answer

the guy is a genius!

anonymous · Answer

hehe thanks for the compliment ^_^