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Let ,$A=\{a, b\}$ and $A^2$ is the set of all words of length 2 i.e., $A^2=A x A$.
(a). Find the element of $\mathrm{A}^2$.
(b). The relation $\mathrm{R}$ on $\mathrm{A}^2$ is defined by $\mathrm{x} \mathrm{Ry}=$ first letter in $\mathrm{x}$ is same as first letter in $\mathrm{y}$ when $\mathrm{x}$ and $\mathrm{y} \in \mathrm{A}^2$. Write $\mathrm{R}$ as a set of ordered pairs. Write domain and range.