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Thread: Algebra problem

  1. #1
    kym
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    Algebra problem

    Trying to solve this but i dont understand too well how linear independece works and i can't find a way to solve this :/.

    With U1=(1,0,1) abd U2=(1,1,-1). What is the vector V such that {U1,U2,V} are linear independents.

    a)(2,1,2)
    b)(1,-2,5)
    c)(3,2,-1)
    d)(3,1,1)

    How do i solve this :/??
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  2. #2
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    Re: Algebra problem

    Quote Originally Posted by kym View Post
    Trying to solve this but i dont understand too well how linear independece works and i can't find a way to solve this :/.

    With U1=(1,0,1) abd U2=(1,1,-1). What is the vector V such that {U1,U2,V} are linear independents.

    a)(2,1,2)
    b)(1,-2,5)
    c)(3,2,-1)
    d)(3,1,1)

    How do i solve this :/??
    Can you find two numbers, at least one not zero, such that $V=\alpha\cdot U_1+\beta\cdot U_2$
    Then V is dependent.
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  3. #3
    kym
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    Re: Algebra problem

    Quote Originally Posted by Plato View Post
    Can you find two numbers, at least one not zero, such that $V=\alpha\cdot U_1+\beta\cdot U_2$
    Then V is dependent.
    Sry didn't understand :/, i have to use the options?? V can't be dependent since the {...} are independents. I'm so confused :/.
    Could you show me how to solve it??

    PS: If someone know site or a bundle of videos that teach algebra well i would apreciate. I'm doing very bad at this and it's only the beggining
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  4. #4
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    Re: Algebra problem

    Quote Originally Posted by kym View Post
    Sry didn't understand :/, i have to use the options?? V can't be dependent since the {...} are independents. I'm so confused :/.
    Could you show me how to solve it??

    PS: If someone know site or a bundle of videos that teach algebra well i would apreciate. I'm doing very bad at this and it's only the beggining
    Go to this website

    Click the $\boxed{=}$ at the end of input window.
    It tells you that the V in part a) is independent.

    By changing the last vector, you can work out the rest.
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