REFLECT

Syntax: vout = >−v

The reflect operator, >−, is a unary operator that interchanges the columns of a matrix.

Suppose the matrix M has N rows and M columns. Then >−M is also an N by M matrix, but column 1 has been interchanged with column M, column 2 has been interchanged with column M-1, and so on.

Examples

Suppose matrix M is

     | 1 10 -1 |
 M = | 2 20 -2 |
     | 3 30 -3 |
     | 4 40 -4 |
 
then
       | -1 10 1 |
 >-M = | -2 20 2 |
       | -3 30 3 |
       | -4 40 4 |
 

You can reflect the rows of a matrix, by using the reflect operator and the transpose operator.

Suppose M is as above. Then

               | 4 40 -4 |
 <-(>-(<-M)) = | 3 30 -3 |
               | 2 20 -2 |
               | 1 10 -1 |