Results 1 to 3 of 3

Math Help - Matrices problem (gps)?

  1. #1
    Newbie
    Joined
    Jan 2011
    Posts
    1

    Matrices problem (gps)?

    I am having some problem with my engineering maths project. i found out that the equation of circle is (x-h)^2 - (y-k)^2 = r^2 and that it is non-linear but do not know how to convert it to a matrix form to find the planar location. would appreciate it if someone would help or show the way to do it thanks the question is below.




    a) A satellite can be represented by a circle, centred at (a1, b1). The distance between the
    satellite and the GPS receiver is the radius of the circle, r1. The location of the GPS receiver
    is (x, y). Write down an equation that relates the centre & radius of the circle with (x, y).

    (b) GPS is based on satellite ranging, i.e. calculating the distances between a receiver and the
    position of 3 satellites. The 2 other satellites are centred at (a2, b2) and (a3, b3). Their radii
    are r2 and r3 respectively. Write down the corresponding equations that relate the centre &
    radius with (x, y) for these 2 satellites.

    (c) Explain whether equations from (a) and (b) are linear or non-linear. If they are non-linear,
    algebraically simplify the equations to get a linear system in x and y.
    (d) The location of the GPS receiver is on the circumference of each circle. It can be determined
    by computing the intercept of the circles. Express the system of equations from (a) and (b) in
    matrix form.

    (e) From the data in the given table, determine the planar location (x, y) of a GPS receiver.
    Circle Centre Radius
    1 (-3,50) 41
    2 (11,-2) 13
    3 ( 13,34) 25

    (f) Is matrix the only method to solve this problem, suggest an alternative method.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    A Plied Mathematician
    Joined
    Jun 2010
    From
    CT, USA
    Posts
    6,318
    Thanks
    5
    Awards
    2
    It appears that this project is for a grade. Forum policy is not knowingly to help with any problem that counts towards a grade.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Grand Panjandrum
    Joined
    Nov 2005
    From
    someplace
    Posts
    14,972
    Thanks
    4
    This thread has been closed and will remain so unless the OP can satisfie the moderators that this is not assessed work.

    CB
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Matrices Problem?
    Posted in the Calculus Forum
    Replies: 3
    Last Post: December 10th 2011, 04:08 PM
  2. Matrices problem
    Posted in the Algebra Forum
    Replies: 2
    Last Post: December 7th 2010, 05:01 AM
  3. Matrices problem-
    Posted in the Advanced Algebra Forum
    Replies: 6
    Last Post: April 29th 2009, 07:35 AM
  4. matrices problem...
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: April 23rd 2009, 08:32 PM
  5. Design matrices problem
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: September 16th 2007, 03:18 PM

Search Tags


/mathhelpforum @mathhelpforum