a) The dimension of the vector space of polynomials {p(t) =a₂t²+a₁t+a where a, ª, and a are any real number is b) The dimension of the vector space of polynomials {p(t)=a₂t² + a₂t + a₂ where a, is any real numbers} is c) The dimension of the vector space of polynomials {p(t)=a₂t² + a₂t+a where a, and a are any real numbers } is Ciro ron

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Question 9
a) The dimension of the vector space of
polynomials
{p(t)=a₂t²+a₁t+a where a, ª, and a are any real numbers}
is
b) The dimension of the vector space of
polynomials
{p(t)=a₂t² + a₂t+a, where a, is any real numbers }
is
c) The dimension of the vector space of
polynomials
{p(t)=a₂t² + a₂t+ao
+ a where a₂ and a are any real numbers }
is
Give your reasons
Transcribed Image Text:Question 9 a) The dimension of the vector space of polynomials {p(t)=a₂t²+a₁t+a where a, ª, and a are any real numbers} is b) The dimension of the vector space of polynomials {p(t)=a₂t² + a₂t+a, where a, is any real numbers } is c) The dimension of the vector space of polynomials {p(t)=a₂t² + a₂t+ao + a where a₂ and a are any real numbers } is Give your reasons
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