0 0 -2 Let {U₁ = [ ²2₂ 2 ] ¹U₂ = [_-1₁₂ ²4] , U₁ = [²4]} L 24], , ‚U3 -2 Use the Gram-Schmidt process to find an orthogonal basis under the Frobenius inner product. Orthogonal basis: a = Ex: 5 0 -3.29 {"₁-[22] -- [8²]-×-[2]) = = V3 = -0.57 b = Ex: 5 a c = Ex: 1.23 24 d = be a basis for a subspace of R2x2. Ex: 1.23 C a]}

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Let {U₁ = [²2₂ 92], U₂ = [_-1₁2 24] ²4-[2²4]}
U 3
-2
0
0
Use the Gram-Schmidt process to find an orthogonal basis under the Frobenius inner product.
Orthogonal basis: V₁
a = Ex: 5
2
0
a
24
C
{v=[ ²₂ 2] = [$ ²] × = [-3.37 2]}
V₂
V3
2
-2
-2
b
4
d
b=
= Ex: 5
=
c = Ex: 1.23
be a basis for a subspace of R2x2.
d = Ex: 1.23
Transcribed Image Text:0 0 Let {U₁ = [²2₂ 92], U₂ = [_-1₁2 24] ²4-[2²4]} U 3 -2 0 0 Use the Gram-Schmidt process to find an orthogonal basis under the Frobenius inner product. Orthogonal basis: V₁ a = Ex: 5 2 0 a 24 C {v=[ ²₂ 2] = [$ ²] × = [-3.37 2]} V₂ V3 2 -2 -2 b 4 d b= = Ex: 5 = c = Ex: 1.23 be a basis for a subspace of R2x2. d = Ex: 1.23
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