10 20 Let {U₁ = [28]. U₂ = [_-10 5] U₁ -[9]} 6] , U3 20 Gram-Schmidt process to find an orthogonal basis under the Frobenius inner product. Orthogonal basis: V₁ = a = Ex: 5 = a {v₁ = [28] ₁¹²2₂ - [85], ²₂- 1/2 , V3 V₁ = [₁ }]} 0.89 -0.44 20 b 0 b = Ex: 5 be a basis for a subspace of R2x2. Use the c = Ex: 1.23 d= = Ex: 1.23

10 20 Let {U₁ = [28]. U₂ = [_-10 5] U₁ -[9]} 6] , U3 20 Gram-Schmidt process to find an orthogonal basis under the Frobenius inner product. Orthogonal basis: V₁ = a = Ex: 5 = a {v₁ = [28] ₁¹²2₂ - [85], ²₂- 1/2 , V3 V₁ = [₁ }]} 0.89 -0.44 20 b 0 b = Ex: 5 be a basis for a subspace of R2x2. Use the c = Ex: 1.23 d= = Ex: 1.23

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.CR: Review Exercises

Problem 47CR: Find an orthonormal basis for the subspace of Euclidean 3 space below. W={(x1,x2,x3):x1+x2+x3=0}

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