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.

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- May 10th 2009, 04:59 PMKeepA 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 PMPlato
Check this out.

$\displaystyle \left( {\begin{array}{ccc} 0 & 0 & 1 \\ 1 & 0 & 0 \\ 0 & 1 & 0 \\ \end{array} } \right)$

Does it work? WHY? - May 10th 2009, 05:18 PMKeep
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 PMPlato
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 PMKeep