Verify that {₁,₂} is an orthogonal set, and then find the orthogonal projection of y onto Span {₁,₂}. y= -5 U₁ = 3 0 4₂ 3 To verify that {u₁,u₂} is an orthogonal set, find u₁ U₂. u₁ • U₂ = (Simplify your answer.)
Verify that {₁,₂} is an orthogonal set, and then find the orthogonal projection of y onto Span {₁,₂}. y= -5 U₁ = 3 0 4₂ 3 To verify that {u₁,u₂} is an orthogonal set, find u₁ U₂. u₁ • U₂ = (Simplify your answer.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Verify that
u1,u2
is an orthogonal set, and then find the orthogonal projection of y onto
Spanu1,u2.
y=
,
4 |
5 |
−5 |
u1=
,
3 |
2 |
0 |
u2=
−2 |
3 |
0 |
Question content area bottom
Part 1
To verify that
u1,u2
is an orthogonal set, find
u1•u2.
![Verify that {u₁,4₂} is an orthogonal set, and then find the orthogonal projection of y onto Span (u₁,4₂}.
3
=
0-0-0
U₁ =
y =
4
5
2
3
To verify that {₁,₂} is an orthogonal set, find u₁ • U₂.
u₁ • U₂ = (Simplify your answer.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F508ce21e-3afd-444a-8549-489aa7ffa652%2F3a6c8452-6718-49b1-adbf-7e8efca7f401%2Fqehywv4_processed.png&w=3840&q=75)
Transcribed Image Text:Verify that {u₁,4₂} is an orthogonal set, and then find the orthogonal projection of y onto Span (u₁,4₂}.
3
=
0-0-0
U₁ =
y =
4
5
2
3
To verify that {₁,₂} is an orthogonal set, find u₁ • U₂.
u₁ • U₂ = (Simplify your answer.)
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