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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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 :)
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.