Find a set of vectors {u, v} in R4 that spans the solution set of the equations:

x−y+2z−3w=0 and x+2y+z+3w=0

Question

Find a set of vectors {u, v} in R4 that spans the solution set of the equations: 

 x−y+2z−3w=0 and  x+2y+z+3w=0

anonymous · Answer

Really just want the answer at this point...please.

anonymous · Answer

I think you need to row reduce

anonymous · Answer

I tried row reducing, then parametric forms, etc it didnt get me anywhere, for me anyways.

anonymous · Answer

anonymous · Answer

The link seems to take me back to the question? :p

anonymous · Answer

O.O since when did copy this link? XD hold on ..

anonymous · Answer

anonymous · Answer

Agh...no, I did not.

anonymous · Answer

ok, assume you did :D

then 
x = (-5/3)z + w
y = (1/3)z - 2w
z = z
w = w

anonymous · Answer

so the two vectors span of the two vectors are:
z (-5/3, 1/3, 1,0) + w (1,-2,0,1)

anonymous · Answer

typo *the span of the two vectors*...

anonymous · Answer

Thank you for clearing that up. You should be called Sweetwing xD, But I understand now. Thanks again.

anonymous · Answer

ahaha sour wing sounds tastier XD. And you're welcome! ^.^