0 0 Le {v₁ = [1 ] = [ 2₂ ], "-[19]} U₂ U3 -2 Gram-Schmidt process to find an orthogonal basis under the Frobenius inner product. be a basis for a subspace of R2x2. Use the a Orthogonal basis: V₁ **{= []=[]=[]} [83] :{v V3 b V/₂ -2

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 48CR: Find an orthonormal basis for the solution space of the homogeneous system of linear equations....
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-1 0
Let
· { v₁ = [1 ¦] ‚½¹₂ = [ 2₂ -3²]‚ U = [1¹3]
Gram-Schmidt process to find an orthogonal basis under the Frobenius inner product.
Orthogonal basis: V₁
a = Ex: 5
a
-2
{ x = [₂] = [3] = [3²]}
0
b = Ex: 5
be a basis for a subspace of R2x2. Use the
c = Ex: 1.23
d = Ex: 1.23
Transcribed Image Text:0-2 -1 0 Let · { v₁ = [1 ¦] ‚½¹₂ = [ 2₂ -3²]‚ U = [1¹3] Gram-Schmidt process to find an orthogonal basis under the Frobenius inner product. Orthogonal basis: V₁ a = Ex: 5 a -2 { x = [₂] = [3] = [3²]} 0 b = Ex: 5 be a basis for a subspace of R2x2. Use the c = Ex: 1.23 d = Ex: 1.23
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