- #1

mitch_1211

- 99

- 1

v1 = (1,2;-2,1) and v2 = (3,2;-1,1) where ; denotes a new line in the matrix.

I know for example if w and v were 1xn matrices i.e vectors such as w = [1,1,1]

v1= [2,-1,3] v2=[1,1,2] then i setup a matrix with v1 and v2 as the columns and augment that with the vector w. Then row reduce to see if there is a solution. If there is a solution then w is a linear combination of v1 and v2

I don't know where to start in terms of putting the matrices v1 and v2 together and augmenting with w in order to get a system to solve..

Maybe I am going about it the wrong way? Is there a different method rather than using

w = c1v1 + c2v2 +c3v3 ... +cnvn and setting up a matrix?

Any help much appreciated

Mitch