Suppose you have 4, three dimenstional vectors. Let vector a=<2,5,-7>, vector b=<-2,1,4>, vector c=<-1,0,3>, and d=<-1,32,-16>.  Find x, y, and z so that xa + yb + zc = d.  Note this is similar to the Linear Combination SCO which could also be solved with matrices.  The only difference is that in this case we are dealing with 3-diminsional vectors.

This problem leads to the following system of equations.

Now we need to put this in our calculator to solve using the rref method.  Note, that we could solve this by hand also, but I am trying to illustrate how to use the calculator.