Results 1 to 2 of 2

Thread: Finding a basis

  1. October 27th 2009, 08:09 PM #1
    amm345
    amm345 is offline
    Member
    Joined
    Oct 2008
    Posts
    82

    Finding a basis

    Find a basis for Mmxn(F).

    I'm not sure how to approach this question, any help would be great.
    Follow Math Help Forum on Facebook and Google+
  2. October 28th 2009, 05:43 AM #2
    HallsofIvy
    HallsofIvy is offline
    MHF Contributor
    Joined
    Apr 2005
    Posts
    13,721
    Thanks
    544
    Starting with the definition of basis woud be good!

    Also, notice that
    \begin{bmatrix}a & b \\ c & d \end{bmatrix}= \begin{bmatrix}a & 0 \\ 0 & 0 \end{bmatrix}+ \begin{bmatrix}0 & b \\ 0 & 0\end{bmatrix}+ \begin{bmatrix}0 & 0 \\ c & 0\end{bmatrix}+ \begin{bmatrix}0 & 0 \\ 0 & d\end{bmatrix}

    = a\begin{bmatrix}1 & 0 \\ 0 & 0\end{bmatrix}+ b\begin{bmatrix}0 & 1 \\ 0 & 0\end{bmatrix}+ c\begin{bmatrix}0 & 0 \\ 1 & 0\end{bmatrix}+ d\begin{bmatrix}0 & 0 \\ 0 & 1\end{bmatrix}
    Follow Math Help Forum on Facebook and Google+
« how to prove eigenvalue of this <1 | Basis of Polynomial space »

Similar Math Help Forum Discussions

  1. Finding Basis'
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: May 13th 2011, 09:05 PM
  2. Finding a basis
    Posted in the Advanced Algebra Forum
    Replies: 3
    Last Post: December 11th 2009, 06:55 AM
  3. Finding a basis
    Posted in the Advanced Algebra Forum
    Replies: 4
    Last Post: September 12th 2009, 03:47 AM
  4. Finding a basis
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: February 28th 2009, 05:31 PM
  5. Finding a basis
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: June 23rd 2008, 10:41 AM

Search Tags


/mathhelpforum @mathhelpforum