Chapter 6.1, Problem 70E

Writing Let $T:R^2\to R^2$ such that $T\left(1,0\right)=\left(0,1\right)$ and $T\left(0,1\right)=\left(1,0\right)$.

(a) Determine $T\left(x,y\right)$ for $\left(x,y\right)$ in $R^2$.

(b) Give a geometric description of $T$.