How Do You Apply Schmidt Orthogonalization to Four 4D Vectors?

[haras]

Hello,
I must use this schmidt method to form an orthogonal set from the 4 column vectors: (1,1,-1,-1), (1,1,0,0,), (1,2,3,1), (0,1,0,1).
the only examples i can find are for 2 2space vectors, and that has the eqns.:
u1=v1
u2 = v2 - proj(u1) v2

i'm confused about how to expand that to 4 vectors in 4space, and also i think, about how to do projections.

THANKS!

 

[Meir Achuz]

Do it step by step. After you have u1 and u2 do
u3=v3-proj(u1)v3-proj(u2)v3, and so on.
You should normallize the u's at each step.