Exercise 7.3.2 Show that {a+bx+cx², a₁ +b₁x+c₁x², a₂ + b₂x+c²₂x²} is a basis of P₂ if and only if {(a, b, c), (a₁, b₁, C₁), (a2, b₂, c₂)} is a basis of R³.
Exercise 7.3.2 Show that {a+bx+cx², a₁ +b₁x+c₁x², a₂ + b₂x+c²₂x²} is a basis of P₂ if and only if {(a, b, c), (a₁, b₁, C₁), (a2, b₂, c₂)} is a basis of R³.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter5: Orthogonality
Section5.1: Orthogonality In Rn
Problem 7EQ
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