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 HHO 8 3 -2 y= -6 7 7 The sum is y = y +z, where y= (Simplify your answers.) -2 is in W and Z = is orthogonal to W.
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 HHO 8 3 -2 y= -6 7 7 The sum is y = y +z, where y= (Simplify your answers.) -2 is in W and Z = is orthogonal to W.
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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Question
Let W be the subspace spanned by
vector in W and a vector orthogonal to W.
u1
and
u2,
and write
y
as the sum of a y=
,
−6 | ||
7 | ||
7 |
u1=
,
1 | ||
1 | ||
3 |
u2=
−2 | ||
8 | ||
−2 |
Question content area bottom
Part 1
The sum is
y=y+z,
where
y=enter your response here
is in W and
z=enter your response here
is orthogonal to W.(Simplify your answers.)
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