Let + { v₁ = [₁ ] ,U₂ = [2₂3], 0₁ = [7²3]} 20 Gram-Schmidt process to find an orthogonal basis under the Frobenius inner product. Orthogonal basis: V₁ a = Ex: 5 a 2 {v₁ = [1₂0], v₂ = [8²], 3], V₁ = [1 a]} -1.33 1.33 b= = Ex: 5 c = Ex: 1.23 be a basis for a subspace of R2x2. Use the d= = Ex: 1.23

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Let
+ {U₁ = [₁ ], U₂₁ = [2₂8] · U₂ = [-2²
, U3
20
Gram-Schmidt process to find an orthogonal basis under the Frobenius inner product.
Orthogonal basis: V₁
a = Ex: 5
=[]}
a 2
{v₁ = [1₂8], v₂ = [8²],
b = Ex: 5
3], V₁ = [1
V3
c = Ex: 1.23
-1.33
1.33
be a basis for a subspace of R2x2. Use the
d=
a]}
Ex: 1.23
Transcribed Image Text:Let + {U₁ = [₁ ], U₂₁ = [2₂8] · U₂ = [-2² , U3 20 Gram-Schmidt process to find an orthogonal basis under the Frobenius inner product. Orthogonal basis: V₁ a = Ex: 5 =[]} a 2 {v₁ = [1₂8], v₂ = [8²], b = Ex: 5 3], V₁ = [1 V3 c = Ex: 1.23 -1.33 1.33 be a basis for a subspace of R2x2. Use the d= a]} Ex: 1.23
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