- #1
trap101
- 342
- 0
Hey,
So I have a sum of complex numbers that really should be easy, but I'm not getting the right solution. It is with respct to using the Gram Schmidt process
U1 = (i, -1, i) U2 = (1,1,0)
So I perform the Gram Schmidt with U1 being my initial vector selection and I get:
V2 = (1,1,0) - [(-1 + i)/3 ] (i, -1 , i)
and here is where the issue arises. Now I did regular subtraction w.r.t complex numbers and got:
[ (4 + i)/ 3, (2+i)/3 , (1+i)/3]
but the solution is:
[(2+i)/3 , (2-i)/3, (-1+i)/3 ]
my vector is not orthogonal, so my question is what am I missing with respect to this?
thanks
So I have a sum of complex numbers that really should be easy, but I'm not getting the right solution. It is with respct to using the Gram Schmidt process
U1 = (i, -1, i) U2 = (1,1,0)
So I perform the Gram Schmidt with U1 being my initial vector selection and I get:
V2 = (1,1,0) - [(-1 + i)/3 ] (i, -1 , i)
and here is where the issue arises. Now I did regular subtraction w.r.t complex numbers and got:
[ (4 + i)/ 3, (2+i)/3 , (1+i)/3]
but the solution is:
[(2+i)/3 , (2-i)/3, (-1+i)/3 ]
my vector is not orthogonal, so my question is what am I missing with respect to this?
thanks