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Math Help - conflicting solution (basis)

  1. #1
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    conflicting solution (basis) - Nevermind

    Given S = span{(0,-1,1), (2,0,3)} and T = span{(1,0,-1), (0,1,2),(1,2,3)}, find a basis for S\cap T.

    My answer: { (3/4, 1, 5/4) }.

    Their answer: { ( 6, 5, 4) }.

    Whose is right?


    Ah, oops, made a silly mistake! Nevermind.
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  2. #2
    MHF Contributor arbolis's Avatar
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    Note that even if you had a different basis from theirs, it doesn't imply that you made an error. There's an infinity of basis for S\cap T. For example \{ ( 12, 10, 8) \} is also a basis for S\cap T.
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  3. #3
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    Yes, but mine wasn't a scalar multiple of theirs . I understand what you're saying though.
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