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Nilanjan Bhowmick AIR 3, CSIR NET (Earth Science)
Swapnadeep Goswami posted an Question
December 30, 2021 • 04:39 am
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10 points
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
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please see attached picture.
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Thanks Bidyut da, but is there a little more elaborate explanation? This answer looks too compact to understand.
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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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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.