Determine if the given set is a subspace of \mathbb{P}_{n} for an appropri

achieverh3

achieverh3

Answered question

2021-11-08

Determine if the given set is a subspace of Pn for an appropriate value of n. Justify your answers. All polynomials of the form p(t)=at2, where a is in R.

Answer & Explanation

Ida Perry

Ida Perry

Beginner2021-11-09Added 20 answers

Lets first test is it closed under vector addition. For some p(t)=at2,q(t)=bt2:
at2+bt2=(a+b)t2
The sum of any two vectors is in the set. Next test is it closed under multiplication by scalars. For some p(t)=at2 and scalar c:
c(at2)=(ca)t2
If the vector is multiplied by a scalar its

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