Question

Let

D = {(a,b,2a): a,b all real numbers}

The set of vectors in R^3 with last entry twice the first.

E = span{(1,0,2),(2,-1,4),(0,-3,0)}

Prove that D = E

I first made an augmented matrix to find out that there is a free variable of x3. Showing that there is a solution where D is a subset of E.

How do I how that E is a subset of D?

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