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Linear Algebra and Its Applications
· Problem 3.4.9
Orthogonality — Gilbert Strang
Mathematics · closest-vector-orthonormal
Problem
If the vectors
q
1
q_1
q
1
,
q
2
q_2
q
2
,
q
3
q_3
q
3
are orthonormal, what combination of
q
1
q_1
q
1
and
q
2
q_2
q
2
is closest to
q
3
q_3
q
3
?
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