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. -1 2 y = U₁ 6 8 , 4₂ = 1 -2 is in W and z= is orthogonal to W. The sum is y = y + z, where y = (Simplify your answers.)

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.
- 1
2
y =
008
6 U₁ = 1 , 4₂ = 6
8
is in W and z= is orthogonal to W.
The sum is y = y + z, where y = [
(Simplify your answers.)
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. - 1 2 y = 008 6 U₁ = 1 , 4₂ = 6 8 is in W and z= is orthogonal to W. The sum is y = y + z, where y = [ (Simplify your answers.)
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