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 :)

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- Apr 27th 2010, 01:12 PMnicolem1051Change 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 :) - Apr 27th 2010, 03:51 PMChris11
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.