Results 1 to 2 of 2

Math Help - linear algebra with transformations and eigenvectors

  1. #1
    Junior Member
    Joined
    Sep 2009
    Posts
    47

    linear algebra with transformations and eigenvectors

    please help me solve the
    problem

    see the attachment

    step by step would help
    me understand it

    thanks
    Attached Thumbnails Attached Thumbnails linear algebra with transformations and eigenvectors-capture.jpg  
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Banned
    Joined
    Oct 2009
    Posts
    4,261
    Thanks
    2
    Quote Originally Posted by statman101 View Post
    please help me solve the
    problem

    see the attachment

    step by step would help
    me understand it

    thanks

    Apply T to the vectors of B and write the result as a lin. combination of the vectors in C, and then take the transpose of the coefficients matrix. For example:

    T\left(\begin{array}{c}3\\2\\3\end{array}\right)=\  left(\begin{array}{c}3\\2\end{array}\right)=\under  line{\underline{1}}\left(\begin{array}{c}1\\0\end{  array}\right)+\underline{\underline{2}}\left(\begi  n{array}{c}1\\1\end{array}\right) \Longrightarrow the first COLUMN (from the left) of the wanted matrix is \left(\begin{array}{c}1\\2\end{array}\right.

    Now you do something simmilar with the second element of B and find the second column of the wanted matrix for T.

    Tonio
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Eigenvalues and eigenvectors [Linear Algebra]
    Posted in the Advanced Algebra Forum
    Replies: 4
    Last Post: December 28th 2010, 12:38 PM
  2. [SOLVED] Linear Algebra, basis of eigenvectors
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: April 21st 2010, 02:01 PM
  3. Linear Algebra, eigenvectors problem
    Posted in the Advanced Algebra Forum
    Replies: 3
    Last Post: April 15th 2010, 07:55 AM
  4. Replies: 3
    Last Post: November 10th 2007, 06:15 AM
  5. Replies: 3
    Last Post: June 2nd 2007, 11:08 AM

Search Tags


/mathhelpforum @mathhelpforum