# Math Help - Change these 2 vectors into an orthonormal set

1. ## Change these 2 vectors into an orthonormal set

x1 =
1
1
1
1

and x2 =
1
-1
1
-1

Question: How can we change the set {x1,x2} into an orthonormal set? Demonstrate.

Any help would be great!! Thanks

2. Since the vectors are already orthoganal, all you do is 'normalize them. Ie divided each vector by its norm. For example, if x=(1,1,1,1) (transpose...), then the new vector is (1/||x||)x=(1/√(4))x=(1/2)x= (1/2,1/2,1/2,1/2).
You do the other one.