Chapter 4, Problem 4CTA

For each statement that follows, answer true if the statement is always true and false otherwise. In the case of a true statement, explain or prove your answer. In the case of a false statement, give an example to show that the statement is not always true.
4. If $L_1$ rotates each vector x in ${ℝ}^2$ by $60°$ and then reflects the resulting vector about the x−axis, and if $L_2$is a transformation that does the same two operations, but in the reverse order, then $L_1=L_2$ .