Results 1 to 2 of 2

Math Help - Need some help with some linear algerbra

  1. #1
    Junior Member
    Joined
    Feb 2006
    From
    Victoria, Australia
    Posts
    36

    Need some help with some linear algerbra

    Im having trouble doing questions 1 and 4 on the following sheet, would someone please help get started, thanks!
    Attached Thumbnails Attached Thumbnails Need some help with some linear algerbra-1.jpg   Need some help with some linear algerbra-4.jpg  
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Grand Panjandrum
    Joined
    Nov 2005
    From
    someplace
    Posts
    14,972
    Thanks
    4
    Quote Originally Posted by sterps View Post
    Im having trouble doing questions 1 and 4 on the following sheet, would someone please help get started, thanks!
    1. consider the column vector {\bold{p}}=[p_t, p_b]' the first element of which is the probability that the student travelled by train yesterday, and the second the probability that they travelled by bus yesterday. Then from the statement of the problem we know that:

     <br />
{\bold{A}}\left[ \begin{array}{c} 1 \\ 0 \end{array} \right] = \left[ \begin{array}{c} 1/3 \\ 2/3 \end{array} \right]<br />

    So the first column of {\bold{A}} is [1/3, 2/3]'.

    Similarly by considering its action on [0,1]' we can conclude that the second column of {\bold{A}} is [2/5, 3/5]'.

    So:

     <br />
{\bold{A}} = \left[ \begin{array}{cc} 1/3 & 2/5 \\ 2/3 & 3/5 \end{array} \right]<br />

    That's you started.

    RonL
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Algerbra
    Posted in the Algebra Forum
    Replies: 2
    Last Post: March 18th 2009, 04:21 AM
  2. algerbra
    Posted in the Algebra Forum
    Replies: 2
    Last Post: January 27th 2009, 08:19 PM
  3. Linear Algerbra Proof
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: December 7th 2008, 08:11 PM
  4. help with algerbra equations please
    Posted in the Algebra Forum
    Replies: 3
    Last Post: June 4th 2008, 09:16 PM
  5. Algerbra help
    Posted in the Algebra Forum
    Replies: 1
    Last Post: January 31st 2008, 06:13 PM

Search Tags


/mathhelpforum @mathhelpforum