# Need your help on BASIS.

1. Aug 12, 2011

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!

2. Aug 12, 2011

### vela

Staff Emeritus
You need to show some attempt at doing the problem yourself before receiving help here.

3. Aug 12, 2011

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?

4. Aug 12, 2011

### vela

Staff Emeritus
Looks good. I'm not exactly sure what the following notation means, though:

5. Aug 12, 2011

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 :)