(1) Let ---1-0 uj = |3 u2 = uz = Apply the Gram-Schmidt process to u1, u2, uz in this order. The resulting vectors are v1 = V2 = ,v3 = and B = {v1, v2, v3} is an orthogonal basis for R³. (ii) Express the vector as a linear combination of v1, v2 and vz: 1 v1+ v2+ v3 )
(1) Let ---1-0 uj = |3 u2 = uz = Apply the Gram-Schmidt process to u1, u2, uz in this order. The resulting vectors are v1 = V2 = ,v3 = and B = {v1, v2, v3} is an orthogonal basis for R³. (ii) Express the vector as a linear combination of v1, v2 and vz: 1 v1+ v2+ v3 )
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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