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
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
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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