Can you help me to set up the quetion please

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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
 
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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.
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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