The set of all quadratic polynomials Pa is a vector space with standard polynomial operations. Problem The set S given below is a subspace of P2 -4lug + 4u1 + 22ug llug – 4u1 – 6uz 2ug + 2u1 -16ug + 14u1 + 9u2 uzz + u,z + 40|| Task What is the dimension of S?

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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Question
The set of all quadratic polynomials Pa is a vector space with standard polynomial operations.
Problem
The set S given below is a subspace of P2
-4lug + 4u1 + 22ug
llug – 4u1 - bug
2ug + 2u1
-16ug + 14u1 + 9u2
uzz + u,z + 40||
%3D
Task
What is the dimension of S?
Transcribed Image Text:The set of all quadratic polynomials Pa is a vector space with standard polynomial operations. Problem The set S given below is a subspace of P2 -4lug + 4u1 + 22ug llug – 4u1 - bug 2ug + 2u1 -16ug + 14u1 + 9u2 uzz + u,z + 40|| %3D Task What is the dimension of S?
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