# Vectors In Linear Algebra

1. May 14, 2008

### roam

Hello!
I have just started studying linear algebra and I got the following question:

We have:

Expres u as a linear combination of the vectors v and w.

This is my attempt;
(By definition a vector is called a linear combination of $$v_{1}, v_{2},... v_{k}$$ if it can be expressed in form $$c_{1}v_{1}, c_{2}v_{2},... c_{k}v_{k}$$ )

So we get: $$c_{1} (4,3,2,1) + c_{2} (1,1,1,1)$$

Is this right? Is this all we were required to show?

Thanks you.

Last edited: May 14, 2008
2. May 14, 2008

### Hootenanny

Staff Emeritus
You would also need to determine the values of the scalar coefficients.

Last edited: May 14, 2008
3. May 14, 2008

### roam

How do we find the values of the scalar coefficients i.e., $$c_{1} , c_{2}$$? Thant's my problem...

Thanks.

4. May 14, 2008

### Hootenanny

Staff Emeritus
Well, you have two unknowns which must satsify a system of four equations. Solve.