Swapnadeep goswami Asked a Question
December 29, 2021 11:09 pmpts 10 pts
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...
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    Swapnadeep goswami
    Oh okay, I get it now. Thanks again.
  • Bidyut sinha thankyou
    please see attached picture.
    • cropped582097142.jpg
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    Swapnadeep goswami
    Thanks Bidyut da, but is there a little more elaborate explanation? This answer looks too compact to understand.
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