-51 2 Let U₁ = 4 U2 U3 = be a basis for R³. Use the Gram-Schmidt process to 51 3 find an orthogonal basis under the Euclidean inner product. -9-8-8 Orthogonal basis: V₁ = a = Ex: 1.23 b = = Ex: 1.230 c Ex: 1.230
-51 2 Let U₁ = 4 U2 U3 = be a basis for R³. Use the Gram-Schmidt process to 51 3 find an orthogonal basis under the Euclidean inner product. -9-8-8 Orthogonal basis: V₁ = a = Ex: 1.23 b = = Ex: 1.230 c Ex: 1.230
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
Question
100%
Let u1 = [1, 4, 0], u2 = [-51, 17, 51], u3 = [2, -4, 3] be a basis for R3. Use the Gram-Schmidt process to find an orthogonal basis under the Eculidean inner product.
Orthogonal basis: v1 = [1, 4, 0], v2 = [-52, 13, 51], v3 = [a, b, c]
Solve for a, b, c.
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