Let B = {(1,0, 0), (0,4, –3), (4, 0, 3)} be a basis for R³. Applying Gram-Schmidt process on B, we get the following orthonormal basis. (1,0,0).(0,1,0),(0,0,1) None of these (1,0,0),( 0,4/5,-3/5),(0,3/5,4/5) O (1,0,0).(0,4,-3),(0,3,4)

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 41E: Use the inner product u,v=2u1v1+u2v2 in R2 and Gram-Schmidt orthonormalization process to transform...
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Let B = {(1,0, 0), (0,4, –3), (4, 0, 3)} be a basis for R³. Applying
Gram-Schmidt process on B, we get the following orthonormal basis.
(1,0,0),(0,1,0),(0,0,1)
None of these
(1,0,0).(0,4/5,-3/5),(0,3/5,4/5)
(1,0,0),(0,4,-3),(0,3,4)
Transcribed Image Text:Let B = {(1,0, 0), (0,4, –3), (4, 0, 3)} be a basis for R³. Applying Gram-Schmidt process on B, we get the following orthonormal basis. (1,0,0),(0,1,0),(0,0,1) None of these (1,0,0).(0,4/5,-3/5),(0,3/5,4/5) (1,0,0),(0,4,-3),(0,3,4)
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