Question

Consider the set of all polynomials p(t) = at? +bt +1, where a and b are real numbers. Is this a subspace of P2? Justify your

Kindly answer the question legibly. Thank you. it has been answered but I still don't get it. Please explain simply.

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Answer #1

Doubt in any step then comment below.. i will help you..

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please thumbs up for this solution..thanks..

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here in p(t) , last term is 1 ...

so , if this set is subspace , then all combination of p(t) have last term is 1 ...

In below image ,i take two functions p1(t) and p2(t) in this set and then add them..so we get last term is 2... That means that function not belongs to this set ....

therefore this set is not subspace..

let a, t+b, tti (ata2 tt (bitha)t + 2 pitle at+bt ty R (+) llfir (+1+ htla 2 att batt Not Subspace

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