Question 5 - A-Level Maths

Write down the matrix that represents a reflection in the line $y = x$.
Describe fully the geometrical transformation represented by each of the following matrices: $$\begin{aligned} & \text { (i) } \left( \begin{array} { c c } 5 & 0
0 & 1 \end{array} \right) \text {, }
& \text { (ii) } \left( \begin{array} { c c } \frac { 1 } { 2 } & \frac { 1 } { 2 } \sqrt { 3 }
- \frac { 1 } { 2 } \sqrt { 3 } & \frac { 1 } { 2 } \end{array} \right) \text {. } \end{aligned}$$