Let S:ℝ2→ℝ2 be the linear transformation that first rotates points clockwise through 60∘ and then reflects poi?

Question

Let S:ℝ2→ℝ2 be the linear transformation that first rotates points clockwise through 60∘ and then reflects points through the origin.

The standard matrix of S is

Let T:ℝ2→ℝ2 be the linear transformation that first reflects points through the origin and then rotates points clockwise through 60∘.

Answer 1

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I have posted a full solution to your question at one of the math help forums I collaborate with, so that I may give you an easy to read explanation using LaTeX:

http://www.mathhelpboards.com/f14/theman123s-quest...