Results 1 to 3 of 3

Math Help - Linear Dependence

  1. #1
    Newbie
    Joined
    Oct 2009
    Posts
    3

    Linear Dependence

    I am trying to figure out this problem....I think it should be simple but I am confused...

    Are the functions linearly dependent or linearly independent?

    y1 = x y2 = absolutevalue(x)


    thank you for any help
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Apr 2005
    Posts
    15,792
    Thanks
    1532
    Quote Originally Posted by khauna View Post
    I am trying to figure out this problem....I think it should be simple but I am confused...

    Are the functions linearly dependent or linearly independent?

    y1 = x y2 = absolutevalue(x)


    thank you for any help
    I presume you know the defintion of "independenc"?

    These functions are linearly independent if and only if the only a, b, such that ay+ by2= ax+ b|x|= 0, for all x, are a= b= 0.

    Since that is true for all x, it is true for x= 1 and for x= -1. Put those into the equation and solve the resulting two equations for a and b.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Oct 2009
    Posts
    3
    thanks yea that makes sense.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. linear dependence
    Posted in the Advanced Algebra Forum
    Replies: 2
    Last Post: December 5th 2009, 06:43 AM
  2. Linear Dependence
    Posted in the Advanced Algebra Forum
    Replies: 3
    Last Post: October 1st 2009, 02:15 AM
  3. Linear dependence
    Posted in the Differential Equations Forum
    Replies: 2
    Last Post: July 5th 2009, 08:27 PM
  4. Linear dependence
    Posted in the Calculus Forum
    Replies: 2
    Last Post: October 10th 2007, 02:33 PM
  5. Linear Dependence
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: April 7th 2007, 11:16 AM

Search Tags


/mathhelpforum @mathhelpforum