# need your help on BASIS.

Tags: basis, linear combination, linear independence, null space, vector space
 P: 15 1. The problem statement, all variables and given/known data Let v=5t-2,S={v_1,v_2 }={t+1,t-1} is a basis of P_1 where P_1 is a vector space of all polynomials of degree ≤1. What is [v]s? Let v=5t-2,S={v_1,v_2 }={t+1,t-1} is a basis of P_1 where P_1 is a vector space of all polynomials of degree ≤1. What is [v]s? 2. The attempt at a solution I need your help to provide me the correct way of putting the answers together, like the one in the answer scheme. Thanks in advance!
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 P: 15 v=[5t-2]=a[t+1]+b[t-1] (1st) at+bt=5t (2nd) a-b=-2 v=3⁄2 v_1+7⁄2 v_2 [v]_s=[■(3⁄2@7⁄2)] is this correct?
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## need your help on BASIS.

 Quote by hadizainud v=[5t-2]=a[t+1]+b[t-1] (1st) at+bt=5t (2nd) a-b=-2 v=3⁄2 v_1+7⁄2 v_2
Looks good. I'm not exactly sure what the following notation means, though:
 [v]_s=[■(3⁄2@7⁄2)] is this correct?
 P: 15 I'm doing the answers of my tutorial on Microsoft Word Office. If you paste what I've wrote there in Equation box, you should see it come. Anyway, thanks man :) I got a new thread on Physicsforums - http://www.physicsforums.com/showthread.php?p=3448198
 PF Patron Sci Advisor Thanks Emeritus P: 38,416 What about those of us who do not use "Microsoft Word Office"?

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