Results 1 to 2 of 2

Math Help - Find basis for A

  1. #1
    Banned
    Joined
    Jan 2009
    Posts
    58

    Find basis for A

    For matrix A=\begin{pmatrix}1&-1&4&-6&8&14\\-1&1&-3&5&-6&-10\\2&-2&6&-10&12&21\\-1&1&-2&4&-4&-8\\0&0&-1&1&-2&1\end{pmatrix}

    I found rref(A)=\begin{pmatrix}1&-1&0&-2&0&0\\0&0&1&-1&2&0\\0&0&0&0&0&1\\0&0&0&0&0&0\\0&0&0&0&0&0\end{p  matrix}

    x1-x2-2x4=0
    x3-x4+2x5=0
    x6=0

    x1=x2+2x4
    x2=x1-2x4
    x3=x4-2x5
    x4=x3+2x5
    x5=(x4-x3)/2
    x6=0

    Now I don't know what to do because there are so many elements. Thank you in advance for any help you can give me.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Banned
    Joined
    Jan 2009
    Posts
    58
    Could I do this?
     <br />
x_{1}=1x_{2}+2x_{4}<br />
x_{3}=1x_{4}-2x_{5}<br />
x_{6}=0<br />

    c_{2}[1,1,0,0,0,0]+c_{4}[2,0,1,1,0,0]+c_{5}[0,0,-2,0,1,0]

    Then I would have basis
    (c_{2}[1,1,0,0,0,0], c_{4}[2,0,1,1,0,0],c_{5}[0,0,-2,0,1,0])
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. find the basis
    Posted in the Advanced Algebra Forum
    Replies: 7
    Last Post: February 8th 2011, 05:39 PM
  2. Find a basis...
    Posted in the Advanced Algebra Forum
    Replies: 2
    Last Post: October 21st 2009, 04:52 AM
  3. How to find a basis for this
    Posted in the Advanced Algebra Forum
    Replies: 7
    Last Post: October 25th 2008, 11:18 AM
  4. Find basis
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: May 20th 2008, 08:11 AM
  5. FInd a basis
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: March 26th 2007, 11:14 AM

Search Tags


/mathhelpforum @mathhelpforum