Chapter 6 - Linear Transformations - 6.5 Applications of Linear Transformations - 6.5 Exercises - Page 335: 3

a) $(1,0)$ b) $(3,-1)$ c) $(0,a)$ d) $(b,0)$ e) $(d,-c)$ f) $(-g,f)$

If we reflect a point $(a,b)$ to the line $y=x$, the reflection will be $(b,a)$. Hence, we have: a) $(1,0)$ b) $(3,-1)$ c) $(0,a)$ d) $(b,0)$ e) $(d,-c)$ f) $(-g,f)$