Results 1 to 5 of 5

Math Help - A matrix that permutates row vectors to column vectors

  1. #1
    Member
    Joined
    Mar 2009
    Posts
    77

    A matrix that permutates row vectors to column vectors

    The question is, which 3X3 matrix permutates (x,y,z) to (z,x,y). In other words, you can write the vectors once as a row and once as a column vector.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Aug 2006
    Posts
    18,957
    Thanks
    1780
    Awards
    1
    Check this out.
    \left( {\begin{array}{ccc}   0 & 0 & 1  \\   1 & 0 & 0  \\   0 & 1 & 0  \\ \end{array} } \right)

    Does it work? WHY?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Member
    Joined
    Mar 2009
    Posts
    77
    Yeah, it works. Was trying to think why but couldn't find an answer. The only property I could think of now is that it has zeros filled in the main diagonal. I would appreciate if you explain. Thanks in advance.
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor

    Joined
    Aug 2006
    Posts
    18,957
    Thanks
    1780
    Awards
    1
    Well you take a close look at it!
    The first row 'picks up' the third element.
    The second row 'picks up' the first element.
    The third row 'picks up' the second element.
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Member
    Joined
    Mar 2009
    Posts
    77
    Quote Originally Posted by Plato View Post
    Well you take a close look at it!
    The first row 'picks up' the third element.
    The second row 'picks up' the first element.
    The third row 'picks up' the second element.
    Oh OK I get it now. Thanks.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. [SOLVED] Column vectors are linearly independent using simple test:Why?
    Posted in the Advanced Algebra Forum
    Replies: 2
    Last Post: June 16th 2011, 07:13 AM
  2. Replies: 4
    Last Post: February 2nd 2011, 05:16 PM
  3. Orthogonal vectors & column and null space
    Posted in the Advanced Algebra Forum
    Replies: 3
    Last Post: April 13th 2009, 08:07 AM
  4. vectors and column spaces
    Posted in the Advanced Algebra Forum
    Replies: 0
    Last Post: May 4th 2008, 04:27 PM
  5. Column Vectors:Why?
    Posted in the Advanced Algebra Forum
    Replies: 2
    Last Post: December 1st 2007, 01:42 PM

Search Tags


/mathhelpforum @mathhelpforum