Question: How to solve this problem? Problem 3. Let 7' : R? - R3 be an orthogonal transformation and let A E R?*2 be the standard

How to solve this problem?

Problem 3. Let 7' : R? - R3 be an orthogonal transformation and let A E R?*2 be the standard matrix of 7. In (a) and (b) below, by rotation we mean "rotation of R by some angle about the origin," and by reflection we mean "reflection of R' over some line ( through the origin." (a) Show that T is either a rotation or a reflection. (b) Show that every rotation is a composition of two reflections, and therefore that T is a composition of at most two reflections

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