Results 1 to 4 of 4

Thread: Linear Independence or Dependence?

  1. #1
    Newbie
    Joined
    Jan 2016
    From
    portugal
    Posts
    2

    Linear Independence or Dependence?

    Hello, i have a test tommorrow on this subject and i need to know the answer asap.

    Are these vectors linear dependent or independent:

    1){(1,1,3);(1,1,2)} What i have so far on this one: https://gyazo.com/448361b7d8764fad9cf7c729ca65226c

    2){(1,1);(1,1);(3,2)}

    thanks in advance.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Forum Admin topsquark's Avatar
    Joined
    Jan 2006
    From
    Wellsville, NY
    Posts
    11,019
    Thanks
    686
    Awards
    1

    Re: Linear Independence or Dependence?

    Quote Originally Posted by chumbo View Post
    Hello, i have a test tommorrow on this subject and i need to know the answer asap.

    Are these vectors linear dependent or independent:

    1){(1,1,3);(1,1,2)} What i have so far on this one: https://gyazo.com/448361b7d8764fad9cf7c729ca65226c

    2){(1,1);(1,1);(3,2)}

    thanks in advance.
    1) The vectors have 3 components, not two. So your test is (0, 0, 0) = a(1, 1,3) + b(1, 1, 2) + c(x, y, z). Or you could simply say: "How could two vectors possibly be independent? You can draw a line between them!"

    2) Are (1, 1) and (1, 1) linearly independent? (i.e (0, 0) = a(1, 1) + b(1, 1))

    -Dan
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Jan 2016
    From
    portugal
    Posts
    2

    Re: Linear Independence or Dependence?

    Are (1, 1) and (1, 1) linearly independent? (i.e (0, 0) = a(1, 1) + b(1, 1))

    I think I'm supposed to check their dependency between the 3 vectors and not just those 2?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor

    Joined
    Aug 2006
    Posts
    21,269
    Thanks
    2641
    Awards
    1

    Re: Linear Independence or Dependence?

    Quote Originally Posted by chumbo View Post
    Hello, i have a test tommorrow on this subject and i need to know the answer asap.
    Are these vectors linear dependent or independent:
    1){(1,1,3);(1,1,2)} What i have so far on this one: https://gyazo.com/448361b7d8764fad9cf7c729ca65226c
    2){(1,1);(1,1);(3,2)}
    Both of these questions by simply looking.
    1) those two vectors are not multiples of each other. Thus they are l.id.
    2) those three vectors are two dimensional so they are l.dep.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Linear Independence/Dependence
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: Oct 19th 2010, 04:33 AM
  2. linear dependence/independence
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: Sep 7th 2010, 06:18 PM
  3. Linear Dependence & independence
    Posted in the Advanced Algebra Forum
    Replies: 11
    Last Post: Mar 20th 2009, 02:39 AM
  4. Linear dependence and independence
    Posted in the Advanced Algebra Forum
    Replies: 2
    Last Post: Sep 2nd 2008, 11:51 PM
  5. Linear Independence/Dependence
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: Apr 15th 2008, 01:38 PM

Search Tags


/mathhelpforum @mathhelpforum