Question

1. multiple choice 1 point arrow diagrams and matrix representations are primarily used for relations on infinite sets. true false 11. multiple choice 1 point in a matrix representation of a binary relation on finite sets, does a 0 at position (i, j) indicate that the i - th element is related to the j - th element? yes no it means the relation is reflexive it indicates they are related by default 12. multiple choice 1 point if a relation r is defined between set a and set b, does r necessarily contain all possible ordered pairs from a×b? only if the relation is an equivalence relation only if a = b no yes

Explanation:

1. Arrow - diagrams and matrix representations are used for finite sets, not infinite sets.
2. In a matrix representation of a binary relation, a '0' at position (i, j) means the i - th element is not related to the j - th element.
3. A relation R defined between set A and set B does not necessarily contain all possible ordered pairs from A×B, even if it is an equivalence relation.

Answer:

1. False
2. No
3. No