If $A\times B=B\times A$ then what can you say about $A$ and $B$ ?

$|A\times B|=6$. If $(-1, y),(1, x),(0, y)$ are in $A\times B$

Write the other elements in $A\times B$, where $x\ne \mathrm{y}$.

Let $A=\{a,b,c\}, B=\{1,2\}$

Determine all the relations from $A$ to $B$ and determine the domain, range and inverse of each relation.

Let $A=\{a,b,c\}, B=\{1,2\}$

Determine all the relations from $B$ to $A$.

Let $A=\{a,b,c\}, B=\{1,2\}$

Is there any relation which is both a relation from $A$ to $B$ and from $B$ to $A$? How many?

Let $A=\{a,b,c\}, B=\{1,2\}$

Of all the relations from $A$ to $B$, identify which relations are many-one, one-many and one-one.

Are the following set relation:

$\varphi$ from $A$ to $B$

Determine the domain, range and inverse of the relation.

Are the following set relation:

$A\times B$ from $A$ to $B$

Determine the domain, range and inverse of the relation.

Are the following set relation:

$A\times \varphi$ from $A$ to $\varphi$

Determine the domain, range and inverse of the relation.