Consider the matrices 4-19 A₁ 2 A₂ ¹2-[28], 4-[²9], A3 = -1 Show that B = {A₁, A2, A3} is a basis of H and determine [A]B. and A
Consider the matrices 4-19 A₁ 2 A₂ ¹2-[28], 4-[²9], A3 = -1 Show that B = {A₁, A2, A3} is a basis of H and determine [A]B. and A
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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![Consider the matrices
2
-61,4-28.
¹2-[28], 4-[²
A3
- 31.
A2
-1
Show that B = {A₁, A2, A3} is a basis of H and determine [A]B.
A₁
and A](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1e470dde-d985-471c-b0b3-08e4bb7380ab%2Fbc6e52bf-d86b-45ad-b1c0-9cffcae2e87c%2Fleu35fq_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the matrices
2
-61,4-28.
¹2-[28], 4-[²
A3
- 31.
A2
-1
Show that B = {A₁, A2, A3} is a basis of H and determine [A]B.
A₁
and A
![Given the subspace
-{[%] a,b,c€R}
Thus H is the space of lower triangular 2 × 2-matrices. The set
E
= {[ 9.6 9.69}
is a basis of H.
H](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1e470dde-d985-471c-b0b3-08e4bb7380ab%2Fbc6e52bf-d86b-45ad-b1c0-9cffcae2e87c%2F0spa27j_processed.png&w=3840&q=75)
Transcribed Image Text:Given the subspace
-{[%] a,b,c€R}
Thus H is the space of lower triangular 2 × 2-matrices. The set
E
= {[ 9.6 9.69}
is a basis of H.
H
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