Results 1 to 2 of 2

Math Help - Matrix bases

  1. #1
    Member
    Joined
    Apr 2008
    Posts
    132

    Matrix bases

    The matrix A below has charachteristic polynomial (λ+1)2(λ-2)2. Compute bases for the(+2)eigenspace and the (-1)eigenspace and explain why A is not diagonalizable
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Moo
    Moo is offline
    A Cute Angle Moo's Avatar
    Joined
    Mar 2008
    From
    P(I'm here)=1/3, P(I'm there)=t+1/3
    Posts
    5,618
    Thanks
    6
    Hello,

    As in your previous thread, solve for X \begin{pmatrix} x_1 \\ x_2 \\ x_3 \\ x_4 \end{pmatrix} in :

    AX= \lambda X (definition of eigenvalue, that will give you eigenspaces for each eigenvalues)

    So solve for X in AX=2X -> (+2) eigenspace

    AX=-X -> (-1) eigenspace


    If the dimension of the (+2) eigenspace plus the dimension of the (-1) eigenspace is inferior to 4, then the matrix is not diagonalizable.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 6
    Last Post: September 27th 2011, 07:24 PM
  2. Finding transformation matrix of two bases
    Posted in the Advanced Algebra Forum
    Replies: 5
    Last Post: April 12th 2011, 06:30 PM
  3. Matrix proof involving invertibility and bases
    Posted in the Advanced Algebra Forum
    Replies: 2
    Last Post: March 23rd 2010, 09:14 PM
  4. Bases and transition matrix question
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: March 31st 2009, 04:53 PM
  5. Find matrix for T for bases B and B'
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: March 31st 2009, 02:15 AM

Search Tags


/mathhelpforum @mathhelpforum