how do i do this? if i were asked to find span(S) of S = { [2,1,-1] , [3,0,-2] } if i get this one, then Ill know how to do the 10+ more items lol haha
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Originally Posted by experiment00 how do i do this? if i were asked to find span(S) of S = { [2,1,-1] , [3,0,-2] } if i get this one, then Ill know how to do the 10+ more items lol haha I suppose you're talking of the 3-dimensional real space $\displaystyle \mathbb{R}^3$ , so: $\displaystyle Span(S)=\{a(2,1,-1)+b(3,0,-2)\, /\, a,b\in \mathbb{R}\} = \{(2a+3b,a,-a-2b)\,/\,a,b\in \mathbb{R}\}$ Tonio
lol, didnt know that was that easy! O.O what if i got like 5 vectors in S? how do i conclude that the span of these 5 vectors is still the real space R^3 P.S how do u make that R^3 lol XD
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