Linear combinations of vectors x1 and x2

[XBOX999]

Homework Statement

Determine whether each of the following vectors V1;... ; V4 is a linear combination of the vectors
X1=[ 1 2 0 ]^T and x2= [ 2 0 1]^T

a) V1= [2 0 -1]^T

b) V2= [ 0 0 0]^T

c) V3=[ 0 4 1]^T

d) V4=[2 2 -1]^T

How can I set up this quetion?

Homework Equations

The Attempt at a Solution

I tried set it up loke that but I thinkit is wrong

[ 1 2 ]
2 0
0 -1

 

[Mark44]

a) Can you find constants a and b so that <2, 0, -1> = a<1, 2, 0> + b<2, 0, 1>?
b) through d) Do the same as above. Part b is very easy.