# A matrix that permutates row vectors to column vectors

• May 10th 2009, 04:59 PM
Keep
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.
• May 10th 2009, 05:10 PM
Plato
Check this out.
$\left( {\begin{array}{ccc} 0 & 0 & 1 \\ 1 & 0 & 0 \\ 0 & 1 & 0 \\ \end{array} } \right)$

Does it work? WHY?
• May 10th 2009, 05:18 PM
Keep
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.
• May 10th 2009, 06:02 PM
Plato
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.
• May 10th 2009, 06:03 PM
Keep
Quote:

Originally Posted by Plato
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.