# Talk:Linear combination

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Mathematics rating:
 C Class
 High Importance
Field: Algebra

## What is the need for something like a Linear combination

It would be nice if someone wrote little about the history of the Linear combination - why it was invented in the first place / why there was the need for an object like a Linear combination in the first place. — Preceding unsigned comment added by Trismarck (talkcontribs) 01:59, 26 July 2012 (UTC)

## request for input

Hi All,

This is a request for some direction, from a non-mathematician. I plan to introduce a proof from linear algebra into the arbitrage pricing theory article. Basically, this is how the derivation there usually goes (where the generic-vectors below have a financial meaning):

If the fact that (1) a vector is orthogonal to n-1 vectors, implies that (2) it is also orthogonal to an nth vector, then (3) this nth vector can be formed as a linear combination of the other n-1 vectors.

Firstly, I would like to tighten up the wording such that it is acceptable; secondly, I would like to link the argument to the appropriate linear algebra theorem. Hope that's do-able.

Thanks. Fintor 13:25, 23 October 2006 (UTC)

this article is balls. ok so you define an LC by explaining how its constructed, but wtf is it in plain terms? to me its just a pain in the arse —Preceding unsigned comment added by 84.67.47.10 (talk) 03:14, 11 December 2007 (UTC)

I agree. This article is indeed balls. Round balls. Slightly squishy. We need a definition here. 157.127.124.14 (talk) 14:52, 4 September 2008 (UTC)