# Math Help - Vector linear combinations

1. ## Vector linear combinations

When is vector(x,y,z,w) a linear combination of v1= (-1,1,-1,2) and v2=(1,-1,1,0)?
State the answer in terms of equations involving x,y,z,and w.

2. When there exists a $k_1$ and $k_2$ such that:

$(x,y,z,w)=k_1\mathbf{v_1}+k_2\mathbf{v_2}$

Using the definition of scalar multiplication, you can easily write it out in terms of x,y,z,w.