Problem 2. Consider the vectors 1 20 and the vectors e₁ and V₁ = √5 3 e₂ = V2 = V = 1 1 √5 V = O Use the properties of orthonormal basis and find a₁ and a₂ for the real case and the complex case such that n 1 -2i Σαββί i=1 2 on basis of R² on basis of C²

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.3: Orthonormal Bases:gram-schmidt Process
Problem 71E
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Problem 2. Consider the vectors
1
20
and the vectors
e₁
and
V1 =
√5
3
e2
V2 =
V =
1
1
1
√5 -2i
A
Use the properties of orthonormal basis and find a₁ and a₂ for the real case and the complex
case such that
V =
n
Σαili
i=1
on basis of R²2
2
on basis of C²
Transcribed Image Text:Problem 2. Consider the vectors 1 20 and the vectors e₁ and V1 = √5 3 e2 V2 = V = 1 1 1 √5 -2i A Use the properties of orthonormal basis and find a₁ and a₂ for the real case and the complex case such that V = n Σαili i=1 on basis of R²2 2 on basis of C²
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