1 0 Let {U₁ = [¹, 2] · ₂ = [° 8] ³4 = []} ₁ , U2 , U3 Gram-Schmidt process to find an orthogonal basis under the Frobenius inner product. Orthogonal basis: V₁ a = Ex: 5 1 a 6 1.73 :{"₁-[-¹₁ 2] ·* - [8_2₂] ·×-[-13 2]} = , V₂ = V3 = -1 b d 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
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Let {U₁ = [¹, 2] · ₂ = [° 8] ³4 = []}
₁ , U2
, U3
Gram-Schmidt process to find an orthogonal basis under the Frobenius inner product.
Orthogonal basis: V₁
a = Ex: 5
1
a 6
1.73
:{"₁-[-¹₁ 2] ·* - [8_2₂] ·×-[-13 2]}
=
, V₂
=
V3 =
-1
b
d
b=
= Ex: 5
c = Ex: 1.23
be a basis for a subspace of R2x2. Use the
d=
= Ex: 1.23
Transcribed Image Text:1 0 Let {U₁ = [¹, 2] · ₂ = [° 8] ³4 = []} ₁ , U2 , U3 Gram-Schmidt process to find an orthogonal basis under the Frobenius inner product. Orthogonal basis: V₁ a = Ex: 5 1 a 6 1.73 :{"₁-[-¹₁ 2] ·* - [8_2₂] ·×-[-13 2]} = , V₂ = V3 = -1 b d b= = Ex: 5 c = Ex: 1.23 be a basis for a subspace of R2x2. Use the d= = Ex: 1.23
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