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Math Help - Do the 3 vectors span the space? Check :)

  1. #1
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    Do the 3 vectors span the space? Check :)

    (1,1,2) (1,0,1) (2,1,3)

    1 1 2 1
    1 0 1 1
    2 1 3 1

    1 1 2 1
    0 -1 -1 0
    0 -1 -1 -1

    1 1 2 1
    0 -1 -1 0
    0 0 0 1

    So it doesnt span the space as the bottom one doesnt work

    Can you check this please, thanks.
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  2. #2
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    Quote Originally Posted by adam_leeds View Post
    (1,1,2) (1,0,1) (2,1,3)

    1 1 2 1
    1 0 1 1
    2 1 3 1

    1 1 2 1
    0 -1 -1 0
    0 -1 -1 -1

    1 1 2 1
    0 -1 -1 0
    0 0 0 1

    So it doesnt span the space as the bottom one doesnt work

    Can you check this please, thanks.

    Correct. It can also be seen easily that the third vector is the sum of the first two, so the three vectors aren't linearly independent...

    Tonio
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