Projection theorem.

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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{(r, y) E R? : (x, y) = a(1, – 1), a ER}. Since M is
a O, of R?, we can apply Projection theorem. Thus, for any u E R?, there exist u E M
u1 + u2. Here, MI = {(x, y) E R? : (x, y) = a(0,), a E R}.
(03) E M and
Problem 2. In R2, we set M =
and u2 E Mt such that u
=
Moreover, set u =
(4, 0). Then, u E R? and u is decomposed by u
U2 = (04) E M+.
Please fill in 0. Concerning 02, please write a simple answer.
Transcribed Image Text:{(r, y) E R? : (x, y) = a(1, – 1), a ER}. Since M is a O, of R?, we can apply Projection theorem. Thus, for any u E R?, there exist u E M u1 + u2. Here, MI = {(x, y) E R? : (x, y) = a(0,), a E R}. (03) E M and Problem 2. In R2, we set M = and u2 E Mt such that u = Moreover, set u = (4, 0). Then, u E R? and u is decomposed by u U2 = (04) E M+. Please fill in 0. Concerning 02, please write a simple answer.
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