#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) = (3, 6, 7, -8). Find the value of c if w = av₁ + bv₂ + cv3 + dv4. Let w=

#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) = (3, 6, 7, -8). Find the value of c if w = av₁ + bv₂ + cv3 + dv4. Let w=

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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Question

3-3

#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)
= (3, 6, 7, -8). Find the value of c if w = av₁ + bv₂ + cv3 + dv4.
Let w=

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