In R' we define the inner product (., .) that is given by the formula (x, y) = 521y1 + 2x2y2 + *3Y3. Let X be the subspace of R' that is spanned by the basis S = {u = [1 8 – 36], v = [1 6 – 26 ]}. The basis of orthogonal completement of S on R3 is |-0.8 , 1] 2.5 (the last compornent equals 1) The distance from z = [1 3 -4] to X is dist(z, X) 1.7129

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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In R' we define the inner product (., .) that is given by the formula
(x, y) = 521y1 + 2x2y2 + *3Y3.
Let X be the subspace of R' that is spanned by the basis
S = {u = [1 8 – 36], v = [1 6 – 26 ]}.
The basis of orthogonal completement of S on R3 is
|-0.8
, 1]
2.5
(the last compornent equals 1)
The distance from z = [1 3 -4] to X is
dist(z, X) 1.7129
Transcribed Image Text:In R' we define the inner product (., .) that is given by the formula (x, y) = 521y1 + 2x2y2 + *3Y3. Let X be the subspace of R' that is spanned by the basis S = {u = [1 8 – 36], v = [1 6 – 26 ]}. The basis of orthogonal completement of S on R3 is |-0.8 , 1] 2.5 (the last compornent equals 1) The distance from z = [1 3 -4] to X is dist(z, X) 1.7129
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