- #1
big.bangs
- 1
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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??
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??