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## Homework Statement

Let S={r,u,d,x} be a set of vectors.

If x=4r+4u+4d, determine whether or not the four vectors listed above are linearly independent or linearly dependent. If is dependent, find a non-trivial linear relation.

## Homework Equations

## The Attempt at a Solution

I dont really know how to start the problem. But I tried to set it up this way.

Let 0=4r-4d-4u+x. In order to make it zero would the scalar of x have to be

1? but im really lost with lost with problem. Any help would great