### Linear Transformations : The composition of any two reflections, whose lines of reflection are orthogonal, is a half-turn.

Matrix Theory - Homework 7 Prove the following in several stages: The composition of any two reflections,whose lines of reflection are orthogonal,is a half-turn. We will work in the vector space ℝ .... First Stage Refer to the diagram provided.The line l makes some angle with the x-axis. Let us suppose that