Results 1 to 2 of 2

Math Help - For what value of k.. no solution / unique solution / infinitely many solutions

  1. #1
    Member
    Joined
    Nov 2009
    Posts
    171

    For what value of k.. no solution / unique solution / infinitely many solutions



    The question is really confusing me, I have no clue what its asking/how to do it. What I do know..

    a) No solution occurs when the bottom row is all zeroes except for the constant. Like (0 0 0 4) because 0 = 4 is impossible.

    b) A unique solution occurs when the leading 1s are in a perfect diagonal like:

    (1 0 0 0)
    (0 1 0 0)
    (0 0 1 0)

    c) And infinitely many solutions for anything else.


    How would I go about doing this im completely confused
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Aug 2007
    From
    USA
    Posts
    3,111
    Thanks
    2

    Re: For what value of k.. no solution / unique solution / infinitely many solutions

    Whoa there! Please do not define these concepts in terms of the mechanical outcomes. Concentrate on the concepts of dependence vs independence and consistent vs inconsistent.

    Have you met the Determinant? It will help, here.

    An obvious observation is k = 1. What does that do to the three equations?

    k = -2 is a little less obvious, but equally interesting.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 3
    Last Post: September 18th 2011, 08:11 PM
  2. Replies: 1
    Last Post: March 24th 2010, 01:14 AM
  3. unique and infinitely solutions problem
    Posted in the Calculus Forum
    Replies: 1
    Last Post: September 18th 2009, 07:56 PM
  4. Replies: 2
    Last Post: September 7th 2009, 03:01 PM
  5. Infinitely or no solution?
    Posted in the Algebra Forum
    Replies: 2
    Last Post: September 25th 2007, 04:24 PM

Search Tags


/mathhelpforum @mathhelpforum