Results 1 to 2 of 2

Math Help - Linear system equation problem

  1. #1
    Junior Member
    Joined
    Dec 2010
    From
    Macedonia
    Posts
    29

    Linear system equation problem

    Hello - i started working on this problem and wanted some help with it:

    Find a for which the system will have only one solution:




    tnx in advance
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Senior Member Tinyboss's Avatar
    Joined
    Jul 2008
    Posts
    433
    It's either every choice of a, or no choice of a. Convert this into a matrix-vector equation Ax=b(a). I write b(a) to denote a vector b that depends on the choice of a. Then you're asking for values of a such that the preimage of b(a) under the linear transformation A is a single vector. But that happens (no matter what b(a) is) if and only if A is injective, i.e. when the matrix A is non-singular. If A is singular (zero determinant), then you may have no solution or infinitely many solutions, depending on a, but never a unique solution.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 2
    Last Post: September 14th 2011, 06:43 PM
  2. Linear equation system
    Posted in the Math Topics Forum
    Replies: 2
    Last Post: May 24th 2010, 11:18 AM
  3. non linear system of equation
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: October 11th 2009, 01:12 PM
  4. help me solve this system of linear equation.
    Posted in the Algebra Forum
    Replies: 2
    Last Post: December 4th 2008, 01:49 PM
  5. help on system linear equation
    Posted in the Pre-Calculus Forum
    Replies: 0
    Last Post: November 8th 2007, 08:43 AM

Search Tags


/mathhelpforum @mathhelpforum