Given an orthonormal basis of R³ : {V1, V2, V3} = 1 of the following are the coefficients C₁, C2 and C3? W = C C1 = = 0, C₂ = 1, C3 = −1 C1 = C1 C1 = 13/17,02 = 331,03 = -3/1/20 3√/3 C₂ √2 C3 √3 √2 3 √3 C2 is expressed as a linear combination W = C₁ V₁ + C2 V2 + C3 V3 then which one 3 VZ, Cz 3√/3 √2 1 √3 1 √√3 1 √3 3 √√√72 ₁93 = 3/6 C3 √6 If
Given an orthonormal basis of R³ : {V1, V2, V3} = 1 of the following are the coefficients C₁, C2 and C3? W = C C1 = = 0, C₂ = 1, C3 = −1 C1 = C1 C1 = 13/17,02 = 331,03 = -3/1/20 3√/3 C₂ √2 C3 √3 √2 3 √3 C2 is expressed as a linear combination W = C₁ V₁ + C2 V2 + C3 V3 then which one 3 VZ, Cz 3√/3 √2 1 √3 1 √√3 1 √3 3 √√√72 ₁93 = 3/6 C3 √6 If
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:Given an orthonormal basis of R³ : {V₁, V2, V3}
H
4
of the following are the coefficients C₁, C2 and C3?
W =
C₁ = 0, C₂
C1 =
C1 =
C₁ =
3
√2
3
2
√3
3
C2
€2
€2
1, C3 = −1
√31C3
2
3
√2, C3
3√/3
√2
3√/3
√2
=
-3³3/12, C3 = 3/6
√2
0
√2
>
is expressed as a linear combination w = C₁ V₁ + C2 V2 + C3 V3 then which one
√3
1
√3
1
√6
√6
. If
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