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## Homework Statement

Given a vector z=<-12, 1, 1, 2, 7, 0> in R^6

and z=u+v, then find u and v such that u's coordinates are all equal to each other (like <0,0,0,0,0,0>) and v has coordinates that add up to 0

## Homework Equations

z=u+v

## The Attempt at a Solution

i have no idea how to approach this....is this a problem about direct sums? (since that is what we're studying at the moment) On a related note, what is the difference between regular addition and a direct sum?

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