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## Homework Statement

Give S = {(x,|x|,2|x|) | x [itex]\in[/itex] R} [itex]\bigcup[/itex] {(0,2,4),(-1,3,6)}, find span(S)

## Homework Equations

I know that span of a finite set of vectors is given by <a(0,2,4) + b(-1,3,6)+c(x,|x|,2|x|)>, where a,b,c are any real numbers. Can i use that same way to find the span of this infinite set.

## The Attempt at a Solution

Is the solution same as the vector span for a finite set like span(S) = <a(0,2,4) + b(-1,3,6)+c(x,|x|,2|x|)>, or is it something else?