Verify that {u₁,u₂} is an orthogonal set, and then find the orthogonal projection of y onto Span{₁,₂}. y = 7 3 - 3 2 6 U₁ " To] 0 u₂ - 6 2 3]

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Verify that {u₁,u₂} is an orthogonal set, and then find the
orthogonal projection of y onto Span{₁,₂}.
2
CHHO
3 U₁ 6
= 2
- 3
0
y =
7
- 6
To verify that {u₁,u₂} is an orthogonal set, find u₁ • U₂.
U₁ U₂ = 0 (Simplify your answer.)
The projection of y onto Span{₁,₂} is
(Simplify your answers.)
Transcribed Image Text:Verify that {u₁,u₂} is an orthogonal set, and then find the orthogonal projection of y onto Span{₁,₂}. 2 CHHO 3 U₁ 6 = 2 - 3 0 y = 7 - 6 To verify that {u₁,u₂} is an orthogonal set, find u₁ • U₂. U₁ U₂ = 0 (Simplify your answer.) The projection of y onto Span{₁,₂} is (Simplify your answers.)
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