3. Problem 3 2 (-)--0) , = 2 (b) Find an orthonormal basis of R³ that contains the vector v₁ (a) Extend v₁ = 4 to an orthogonal basis of R³ with integer components. 2 (G) 2

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
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Chapter5: Inner Product Spaces
Section5.3: Orthonormal Bases:gram-schmidt Process
Problem 71E
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3. Problem 3
(a) Extend v₁ =
2
(²)
2
V2 =
(9)
to an orthogonal basis of R³ with integer components.
(b) Find an orthonormal basis of R³ that contains the vector v₁
-
2
-1
2
Transcribed Image Text:3. Problem 3 (a) Extend v₁ = 2 (²) 2 V2 = (9) to an orthogonal basis of R³ with integer components. (b) Find an orthonormal basis of R³ that contains the vector v₁ - 2 -1 2
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