12] Le {tr - [ ²₁ 9] ₁²-[88]. ²-33) = = U3 = the Gram-Schmidt process to find an orthogonal basis under the Frobenius inner product. Orthogonal basis: V₁ {v₂ a = Ex: 5 1.03 - [² i]·²- [8 ¹²]. - [¹ ,V3 b= Ex: 5 c = Ex: 1.23 be a basis for a subspace of R2x2. Use d :]} -0.41 d Ex: 1.23
12] Le {tr - [ ²₁ 9] ₁²-[88]. ²-33) = = U3 = the Gram-Schmidt process to find an orthogonal basis under the Frobenius inner product. Orthogonal basis: V₁ {v₂ a = Ex: 5 1.03 - [² i]·²- [8 ¹²]. - [¹ ,V3 b= Ex: 5 c = Ex: 1.23 be a basis for a subspace of R2x2. Use d :]} -0.41 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
Problem 1RQ
Related questions
Question
Finding an orthogonal basis using the Gram-Schmidt process.
![0 12
Let
+ { v₁ = [ ²₁ ], ¹₂ = [0
= [1 ²],² = [-2² =²]}
U₁
6
the Gram-Schmidt process to find an orthogonal basis under the Frobenius inner product.
Orthogonal basis:
a = Ex: 5
a 12
1.03
s {v₁ = [ ²₁ i].v - [8 ¹²]. v. - [1.0
-0.41
= Ex: 5
c = Ex: 1.23
be a basis for a subspace of R2x2- Use
d
= Ex: 1.23
:]}](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F128d7a0c-27a0-4083-8427-719d64466bab%2F63a6c819-7ddf-46ab-bf99-569292b97662%2Fhznpno_processed.png&w=3840&q=75)
Transcribed Image Text:0 12
Let
+ { v₁ = [ ²₁ ], ¹₂ = [0
= [1 ²],² = [-2² =²]}
U₁
6
the Gram-Schmidt process to find an orthogonal basis under the Frobenius inner product.
Orthogonal basis:
a = Ex: 5
a 12
1.03
s {v₁ = [ ²₁ i].v - [8 ¹²]. v. - [1.0
-0.41
= Ex: 5
c = Ex: 1.23
be a basis for a subspace of R2x2- Use
d
= Ex: 1.23
:]}
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