Math Is Fun Forum

SgtDawkins

Member

Registered: 2009-09-01

Posts: 9

Linear Algebra

Hey gang.  Another quick question.  Can anyone remind me how you would find a vector in a particular subspace that is CLOSEST to a function.
The exact question is to find the vector in U closest to cos (t).
The orthonormal basis of the subspace is (1), (t-1), (t^2-4t+2), (t^3-9t^2+18t-6), and (t^4-16t^3+72t^2-9t+36)
I've just spent so much time getting that basis, and would appreciate any help in leading me in the right direction.  I'll do the work if someone can tell me the process.  Thanks so much!!!!

rachiepoo

Member

Registered: 2009-09-13

Posts: 1

Re: Linear Algebra

how do i simplify {x+3}^2 {x-4}^3

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Linear Algebra

Hi rachiepoo;

You should have started another thread for your question.

Do you mean (x + 3)^2 * ( x - 4)^3 ?

You can expand that but I think it is already simplified.

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In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.