Let {U₂₁ = [2 - ₁] ₁ U₂ = [0 12], 4]} the Gram-Schmidt process to find an orthogonal basis under the Frobenius inner product. Orthogonal basis: V₁ a = Ex: 5 U3 -|-3 = 0 a 12 {v₁ = [ 2₂ 9₁], V2₂ - [8 ¹2] ₁ Vs = [ = V3 b b = Ex: 5 c = Ex: 1.23 be a basis for a subspace of R2x2. Use -1.62 0.62 d = Ex: 1.23 ]} с d
Let {U₂₁ = [2 - ₁] ₁ U₂ = [0 12], 4]} the Gram-Schmidt process to find an orthogonal basis under the Frobenius inner product. Orthogonal basis: V₁ a = Ex: 5 U3 -|-3 = 0 a 12 {v₁ = [ 2₂ 9₁], V2₂ - [8 ¹2] ₁ Vs = [ = V3 b b = Ex: 5 c = Ex: 1.23 be a basis for a subspace of R2x2. Use -1.62 0.62 d = Ex: 1.23 ]} с d
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Let {U₂₁ = [2 - ₁] ₁ U₂ = [0 12],
4]}
the Gram-Schmidt process to find an orthogonal basis under the Frobenius inner product.
Orthogonal basis: V₁
a = Ex: 5
U3 -|-3
=
0
a 12
{v₁ = [ 2₂ 9₁], V2₂ - [8 ¹2] ₁ Vs = [
=
V3
b
b = Ex: 5
c = Ex: 1.23
be a basis for a subspace of R2x2. Use
-1.62
0.62
d = Ex: 1.23
]}
с
d](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe3447358-60ed-4f4d-b39c-386771818e15%2F697fafc2-ed53-436f-a737-f9d940c1b9d3%2F3sjby0b_processed.png&w=3840&q=75)
Transcribed Image Text:Let {U₂₁ = [2 - ₁] ₁ U₂ = [0 12],
4]}
the Gram-Schmidt process to find an orthogonal basis under the Frobenius inner product.
Orthogonal basis: V₁
a = Ex: 5
U3 -|-3
=
0
a 12
{v₁ = [ 2₂ 9₁], V2₂ - [8 ¹2] ₁ Vs = [
=
V3
b
b = Ex: 5
c = Ex: 1.23
be a basis for a subspace of R2x2. Use
-1.62
0.62
d = Ex: 1.23
]}
с
d
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