Question 7 - A-Level Maths

Find the matrix that represents a rotation through \(90 ^ { \circ }\) clockwise about the origin.
Find the matrix that represents a reflection in the \(x\)-axis.
Hence find the matrix that represents a rotation through \(90 ^ { \circ }\) clockwise about the origin, followed by a reflection in the \(x\)-axis.
Describe a single transformation that is represented by your answer to part (iii).