In R' we define the inner product (. , . ) that is given by the formula(x, y) = 5¤1Y1 + 2x2y2 + ¤3Y3.Let X be the subspace of R that is spanned by the basisS = {u = [1 4 – 16], v = [–1 0 – 4]}.The basis of orthogonal completement of S on R° isW = || 2X o -0.8xo 2.5 , 1](the last compornent equals 1)The distance from z = [–2 -4 -4] to X is

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In R we define the inner product (. , .) that is given by the formula (x, y) = 5¤1Y1 + 2x2Y2 + ¤3Y3. Let X be the subspace of R that is spanned by the basis S = {u = [1 4 – 16], v = [–1 0 – 4]}. %3D The basis of orthogonal completement of S on R° is o -0.8 xo 2.5 , 1] W = (the last compornent equals 1)

In R we define the inner product (. , .) that is given by the formula (x, y) = 5¤1Y1 + 2x2Y2 + ¤3Y3. Let X be the subspace of R that is spanned by the basis S = {u = [1 4 – 16], v = [–1 0 – 4]}. %3D The basis of orthogonal completement of S on R° is o -0.8 xo 2.5 , 1] W = (the last compornent equals 1)

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

In R' we define the inner product (. , . ) that is given by the formula
(x, y) = 5¤1Y1 + 2x2y2 + ¤3Y3.
Let X be the subspace of R that is spanned by the basis
S = {u = [1 4 – 16], v = [–1 0 – 4]}.
The basis of orthogonal completement of S on R° is
W = || 2
X o -0.8
xo 2.5 , 1]
(the last compornent equals 1)
The distance from z = [–2 -4 -4] to X is

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