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###### Swapnadeep Goswami posted an Question
December 29, 2021 • 23:09 pm 10 points
• CSIR NET
• Physical Sciences

# Consider the set of polynomials x(t)=a, +a,t +... +a,t"in t of degree less than n, such that x(0) = 0 and x(1) =1. this set (a) constitutes a vector space of di

Consider the set of polynomials x(t)=a, +a,t +... +a,t"in t of degree less than n, such that x(0) = 0 and x(1) =1. This set (a) constitutes a vector space of dimension n (b) constitutes a vector space of dimension n -1 (c) constitutes a vector space of dimension n-2 d) does not constitute a vector space

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• ##### Bidyut sinha Best Answer

na na it's enough... because whenever ao=0...you are not getting the term t^0...degree zero is not present there....So that polynomial is not Vector Space...

Oh okay, I get it now. Thanks again.

• ##### Bidyut sinha

please see attached picture.

Thanks Bidyut da, but is there a little more elaborate explanation? This answer looks too compact to understand.

na na it's enough... because whenever ao=0...you are not getting the term t^0...degree zero is not present there....So that polynomial is not Vector Space...

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