Results 1 to 2 of 2

Math Help - Matrix Algebra help!

  1. #1
    Junior Member
    Joined
    Feb 2008
    Posts
    64

    Matrix Algebra help!

    I need some help on this question and a couple explanations on some terms.

    A= \left(\begin{array}{cc}k&-2\\1-k&k\end{array}\right), where k is a constant.

    A transformation T: \Re^2 \rightarrow \Re^2 is represented by the matrix A.

    a) Find the value of k for which the line y=2x is mapped onto itself under T

    b) show that A is non-singular for all values of k



    i need help on both parts of the question, and waht is ment by non-singular?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Member
    Joined
    Dec 2008
    Posts
    111
    Dear Stylis10,

    hint a) let [y1 y2]' = A * [x 2x]'
    the condition is y2/y1 = 2 for all x

    hint b) A is non-singular means det(A)<>0
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Matrix Algebra.
    Posted in the Algebra Forum
    Replies: 4
    Last Post: June 3rd 2011, 06:44 AM
  2. Matrix Algebra
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: February 1st 2010, 06:13 AM
  3. Matrix Algebra
    Posted in the Advanced Algebra Forum
    Replies: 2
    Last Post: December 18th 2008, 06:09 PM
  4. matrix algebra
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: May 1st 2008, 03:08 AM
  5. Matrix Algebra help please:
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: October 17th 2007, 08:21 PM

Search Tags


/mathhelpforum @mathhelpforum