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Compute v and w?

If v+w=[5, 1] and v-w=[1, 5], compute v and w.
 
This is vectors, 5 on top, 1 on bottom. And 1 on top, 5 on bottom.
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1 Answer

(v+w)+(v-w) = 2v
v = ((v+w)+(v-w))/2
= ([5,1]+[1,5])/2
=[6,6]/2
=[3,3]
 
w=v-[1,5]
=[3,3]-[1,5]
=[2,-2]