se Theorem 5.5.2 to write the vector v = s linear combination of 8 8 10

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Use Theorem 5.5.2 to write the vector v =
as linear combination of
2/√9
1/√9
-2/√√9
Note that u₁, 2 and us are orthonormal.
P1 =
=
ut u₂+ 113
Use Parseval's formula to compute ||v||².
||v||²
, 1₂ =
=
8
on this problem
8
10
-2/√8
0/√8
-2/√8
and us=
2/√√72
-8/√72
-2/√72
Transcribed Image Text:Use Theorem 5.5.2 to write the vector v = as linear combination of 2/√9 1/√9 -2/√√9 Note that u₁, 2 and us are orthonormal. P1 = = ut u₂+ 113 Use Parseval's formula to compute ||v||². ||v||² , 1₂ = = 8 on this problem 8 10 -2/√8 0/√8 -2/√8 and us= 2/√√72 -8/√72 -2/√72
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Given u1 ,u2 and u3 are orthonormal . Everything explained below in details.

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