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Problem #3: The following vectors form an orthogonal basis for Rª. V₁ = (1,-1,2,-1), V₂ = (-2,2,3,2) V3 (1,2,0,-1), V4 = (1,0,0,1) Let w= (4.4.1.-5). Find the value of c if w= av₁ + bv₂ + cv3 + dv4.

Problem #3: The following vectors form an orthogonal basis for Rª. V₁ = (1,-1,2,-1), V₂ = (-2,2,3,2) V3 (1,2,0,-1), V4 = (1,0,0,1) Let w= (4.4.1.-5). Find the value of c if w= av₁ + bv₂ + cv3 + dv4.

Elementary Linear Algebra (MindTap Course List)
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 #3: The following vectors form an orthogonal basis for Rª. V₁ = (1,-1,2,-1), V₂ = (-2,2,3,2) (1,2,0,-1), V4 = (1,0,0,1) V3 = (4.4.1.-5). Find the value of c if w= Let w = av₁ + bv₂ + cv3+ dv4.
Transcribed Image Text:Problem #3: The following vectors form an orthogonal basis for Rª. V₁ = (1,-1,2,-1), V₂ = (-2,2,3,2) (1,2,0,-1), V4 = (1,0,0,1) V3 = (4.4.1.-5). Find the value of c if w= Let w = av₁ + bv₂ + cv3+ dv4.
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