Question

for ਸਟੇਟਮੈਟ ਐਕਸਪ੍ਰੈਸ਼ਨ ਦੇ ਤਿੰਨ ਵੱਖ ਵੱਖ ਢੰਗ ਕੀ ਹਨ​

Answer 1

Answer:

Antisymmetric Relation Examples

Q.1: Which of these are antisymmetric?

(i) R = {(1,1),(1,2),(2,1),(2,2),(3,4),(4,1),(4,4)}

(ii) R = {(1,1),(1,3),(3,1)}

(iii) R = {(1,1),(1,2),(1,4),(2,1),(2,2),(3,3),(4,1),(4,4)}

Solution:

(i) R is not antisymmetric here because of (1,2) ∈ R and (2,1) ∈ R, but 1 ≠ 2.

(ii) R is not antisymmetric here because of (1,3) ∈ R and (3,1) ∈ R, but 1 ≠ 3.

(iii) R is not antisymmetric here because of (1,2) ∈ R and (2,1) ∈ R, but 1 ≠ 2 and also (1,4) ∈ R and (4,1) ∈ R but 1 ≠ 4.