(a) Find the best approximation to ✅ by a vector of W. (b) Write as the sum of a vector in W and a vector in W¹. and W. (c) Find the distance between
(a) Find the best approximation to ✅ by a vector of W. (b) Write as the sum of a vector in W and a vector in W¹. and W. (c) Find the distance between
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
![Suppose = [2, 1, −1]ª, ♂ = [1, −1, 1]ª and √ = [2,0, 1]T. Let W = Span{7,V}.
(a) Find the best approximation to y by a vector of W.
(b) Write ✅
y
as the sum of a vector in W and a vector in W¹.
(c) Find the distance between and W.
(d) Let A = [√, √]. Note that Aỡ ‡ ☞ for all ☞ € R². Find min ||A7
J'||.
TER²](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7f1b4368-5a5b-4a6d-b39b-68f4db26d2cd%2Fc3692c61-c78d-49d9-8465-a39dc2d33b98%2Fko8zstq_processed.png&w=3840&q=75)
Transcribed Image Text:Suppose = [2, 1, −1]ª, ♂ = [1, −1, 1]ª and √ = [2,0, 1]T. Let W = Span{7,V}.
(a) Find the best approximation to y by a vector of W.
(b) Write ✅
y
as the sum of a vector in W and a vector in W¹.
(c) Find the distance between and W.
(d) Let A = [√, √]. Note that Aỡ ‡ ☞ for all ☞ € R². Find min ||A7
J'||.
TER²
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