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Math Help - find span(S)

  1. #1
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    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
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  2. #2
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    Quote Originally Posted by experiment00 View Post
    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
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  3. #3
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    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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