need your help on BASIS.


by hadizainud
Tags: basis, linear combination, linear independence, null space, vector space
hadizainud
hadizainud is offline
#1
Aug12-11, 12:20 AM
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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vela
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#2
Aug12-11, 01:16 AM
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You need to show some attempt at doing the problem yourself before receiving help here.
hadizainud
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#3
Aug12-11, 02:51 AM
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?

vela
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#4
Aug12-11, 03:59 AM
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need your help on BASIS.


Quote Quote by hadizainud View Post
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?
hadizainud
hadizainud is offline
#5
Aug12-11, 06:17 AM
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
HallsofIvy
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#6
Aug12-11, 07:20 AM
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What about those of us who do not use "Microsoft Word Office"?


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