Question 4.
Let
~v
1
=
⎛
⎜
⎜
⎝
1
1
1
1
⎞
⎟
⎟
⎠
,
~v
2
=
⎛
⎜
⎜
⎝
1
−
1
1
−
1
⎞
⎟
⎟
⎠
, and
~v
3
=
⎛
⎜
⎜
⎝
−
1
0
1
2
⎞
⎟
⎟
⎠
. Let
V
= span
{
~v
1
,~v
2
3
}
.
(a)
(5 points) Using GramSchmidt, fnd an orthonormal basis
~u
1
,~u
2
3
For
V
.
(b)
(5 points)
Write each
~v
i
as a linear combination oF
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 Fall '08
 lee
 Linear Algebra, Orthonormal basis, Gramâ€“Schmidt process

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