Antisymmetric and transitive using the matrix?

[big.bangs]

antisymmetric and transitive using the matrix??

I know about find reflexive and symmetric using the matrix

For example, {1,2,3,4,5}

1 0 0 0 0
0 1 0 0 0
0 0 1 0 0
0 0 0 1 0
0 0 0 0 1 (This is reflexive)

1 0 0 0 0
0 1 0 0 0
0 0 0 0 0
0 0 0 1 0
0 0 0 0 1 (This is not reflexive cause 3 is not R 3)

0 1 0 1 0
1 0 0 0 0
0 0 0 0 1
1 0 0 0 0
0 0 1 0 0 (This is symmetric)

0 1 0 1 0
0 0 1 0 1
0 1 0 1 0
1 0 1 0 0
0 1 0 0 0 (This is not symmetric cause 1R2, but 2 is not R 1)

I calculate the symmetric is start from the row 1, and then check each column in the row 1, after finished all the column in row 1, then i will move on to the row 2.

And my question is how to check the antisymmetric and transitive using the matrix??

 

[Ray Vickson]

I know about find reflexive and symmetric using the matrix

For example, {1,2,3,4,5}

1 0 0 0 0
0 1 0 0 0
0 0 1 0 0
0 0 0 1 0
0 0 0 0 1 (This is reflexive)

1 0 0 0 0
0 1 0 0 0
0 0 0 0 0
0 0 0 1 0
0 0 0 0 1 (This is not reflexive cause 3 is not R 3)

0 1 0 1 0
1 0 0 0 0
0 0 0 0 1
1 0 0 0 0
0 0 1 0 0 (This is symmetric)

0 1 0 1 0
0 0 1 0 1
0 1 0 1 0
1 0 1 0 0
0 1 0 0 0 (This is not symmetric cause 1R2, but 2 is not R 1)

I calculate the symmetric is start from the row 1, and then check each column in the row 1, after finished all the column in row 1, then i will move on to the row 2.

And my question is how to check the antisymmetric and transitive using the matrix??

Your questions are incomprehensible. You are using the words "reflexive", "transitive", etc., in seemingly unusual ways. It is not clear to me that your meaning of these words is the same as what I (and many others) would think. So, first, just explain what YOU mean by reflexive, transitive, etc. Then, once we understand what you want to do we will be better able to help.

RGV