Question: Letv 1 = 0.5 0.5 0.5 0.5 ,v 2 = 0.5 0.5 0.5 0.5 ,v 3 = 0.5 0.5 0.5 0.5 . v1=[0.50.50.50.5],v2=[0.50.50.50.5],v3=[0.50.50.50.5]. Find a

Letv

1

=

0.5

0.5

0.5

0.5

,v

2

=

0.5

0.5

0.5

0.5

,v

3

=

0.5

0.5

0.5

0.5

.

v1=[0.50.50.50.5],v2=[0.50.50.50.5],v3=[0.50.50.50.5].

Find a vectorv

4

v4inR

4

R4such that the vectorsv

1

v1,v

2

v2,v

3

v3, andv

4

v4are orthonormal.

Letv1=0.50.50.50.5,v2=0.50.50.50.5,v3=0.50.50.50.5.v1=[0.50.50.50.5],v2=[0.50.50.50.5],v3=[0.50.50.50.5].Find a vectorv4v4inR4R4such that the vectorsv1v1,v2v2,v3v3, andv4v4are orthonormal. \f

\f

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