Question: Use Theorem 5.5.2 to write the vectorv= v= [-1 ]110,as linear combination ofu 1 = u1= [1/18 1/18 ]1/18 1/184/18 4/18,u 2 = u2= [4/17

Use Theorem 5.5.2 to write the vectorv=

v=

[-1

]110,as linear combination ofu

1

=

u1=

[1/18

1/18

]1/18

1/184/18

4/18,u

2

=

u2=

[4/17

4/17

]0/17

0/171/17

1/17andu

3

=

u3=

[1/306

1/306

]17/306

17/3064/306

4/306.Note thatu

1

u1,u

2

u2andu

3

u3are orthonormal.

Use Theorem 5.5.2 to write the vectorv=v= [-1 ]110,as linear combination ofu1=u1=

\f

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