Write v as the sum of two vectors, one in Span {u₁} and one in Span {U₂, U3,44}. Assume that {u....4} is an orthogonal basis for Rª. 5 5 5 1 4 -5 1 5 -5 -1 5 5 V= U₁ = 5 -1 U₂ = U3 = U4 5 5 5 V= 7 -2 2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Write v as the sum of two vectors, one in Span {u₁} and one in Span {U₂, U3,44}. Assume that {u,₁,...,4} is an orthogonal basis for Rª.
5
5
1
4
5
5
-5
4₂
5
1
5
-5
5
5
1
5
5
u3
U4
-2
2
V =
(Type an integer or simplified fraction for each matrix element.)
Transcribed Image Text:Write v as the sum of two vectors, one in Span {u₁} and one in Span {U₂, U3,44}. Assume that {u,₁,...,4} is an orthogonal basis for Rª. 5 5 1 4 5 5 -5 4₂ 5 1 5 -5 5 5 1 5 5 u3 U4 -2 2 V = (Type an integer or simplified fraction for each matrix element.)
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