If A=C³, F=C, ° is the ordinary inner product of C³ and U = span(₁‚Ù₂), и₁ = (1,0, i), u₂ = (2,1,1 + i) find the orthogonal projection p of the vector u=(-1,i,-1) onto U and write it as u=p+q, where peu and qeU+.
If A=C³, F=C, ° is the ordinary inner product of C³ and U = span(₁‚Ù₂), и₁ = (1,0, i), u₂ = (2,1,1 + i) find the orthogonal projection p of the vector u=(-1,i,-1) onto U and write it as u=p+q, where peu and qeU+.
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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Transcribed Image Text:If A=C³, F=C, ° is the ordinary inner product of C³ and
U = span(₁,₂), и₁ = (1,0, i), u₂ = (2,1,1 + i)
find the orthogonal projection p of the vector u=(-1,i,-1) onto U and write it as
u=p+q, where p=U and qeU+.
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