2) Write the vector v as a sum of proj span{.…...} (v) and proj spo span{m} orthogonal set V₁,..., V where: V = proj (v) + (v) span{v...Vm} span{V₁Vm} proj(v)-v₁ = 0,..., proj(v). v₁ = 0 m proj spa İspan {v, ,--, , }; (v) = v₁x₁ + ... + V_X_ m m 2 V= 3; V₁ 4 + proj = 5 1 2 = (v) for the
2) Write the vector v as a sum of proj span{.…...} (v) and proj spo span{m} orthogonal set V₁,..., V where: V = proj (v) + (v) span{v...Vm} span{V₁Vm} proj(v)-v₁ = 0,..., proj(v). v₁ = 0 m proj spa İspan {v, ,--, , }; (v) = v₁x₁ + ... + V_X_ m m 2 V= 3; V₁ 4 + proj = 5 1 2 = (v) for the
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:2) Write the vector v as a sum of proj span{ } (v) and proj span{-\vn}
where:
orthogonal set V₁,..., V
1
ㅗ
V =
= proj span {\. ….…...} (v) + proj span{\...} (v)
proj span
(v). v₁ = 0,..., projpa
| span {
İspan {v,{…..,,,}; (v) = v₁x₁ + ... + V_X_
m m
span{V₁Vm}
proj
2
v = 3; v₁:
4
1, V₂
=
1
9
} (v). V = 0
(v) for the
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