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## Homework Statement

Show if S = {v

_{1},v

_{2},v

_{3}} is independent or dependent . . .

## Homework Equations

(0,0,0,0) = k

_{1}(a,b,c,d) + k

_{2}(e,f,g,h) + k

_{3}(i,j,k,l) where {a,b,c,d,e,f,g,h,i,j,k,l [itex]\in[/itex] ℝ}

## The Attempt at a Solution

im trying to tell if i can say that this set of 3 vectors in R4 is dependent right away, just because there are less vectors than the number of dimensions. . . i looked in the book and the opposite is true -- if you have 4 vectors in R3, then the set is linearly dependent . . .

thanks