Textbook Problem

In 9-33, determine whether the given relation is reflexive, symmetric, transitive, or none of these. Justify your answer.

Let $A=\text{R}\times \text{R}$ . A relation F is defined on A as follows: For every $\left(x_1,y_1\right)$ and $\left(x_2,y_2\right)$ in A,
$\left(x_1,y_1\right)\text{F}\left(x_1,x_2\right)\iff x_1=x_2.$