1. ## find span(S)

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

2. 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 $\mathbb{R}^3$ , so:

$Span(S)=\{a(2,1,-1)+b(3,0,-2)\, /\, a,b\in \mathbb{R}\} = \{(2a+3b,a,-a-2b)\,/\,a,b\in \mathbb{R}\}$

Tonio

3. 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