Let W be the subspace spanned by u₁ and u₂, and write y as the sum of a vector in W and a vector orthogonal to W. 00-0 5 y = -2 -2 3 The sum is y = y + z, where y = is in W and z = [ (Simplify your answers.) is orthogonal to W.

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Let W be the subspace spanned by u₁ and u₂, and write y as the sum of a vector in W and a vector orthogonal to
W.
y =
-2
5
U₁
U₂
The sum is y = y + z, where y = |
(Simplify your answers.)
-2
- 3
is in W and Z=
is orthogonal to W.
Transcribed Image Text:Let W be the subspace spanned by u₁ and u₂, and write y as the sum of a vector in W and a vector orthogonal to W. y = -2 5 U₁ U₂ The sum is y = y + z, where y = | (Simplify your answers.) -2 - 3 is in W and Z= is orthogonal to W.
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