Recent content by Leo-physics

Def:A ∈L(V,V) V is Euclidean space ,dim V=n A is mirror transformation ⇔ A ( α ) =α - 2 ( η, α ) η ( η∈V and ||η||=1) (∀α ∈ V) Def:A∈L(V,V) V is Euclidean space ,dim V=n A is orthogonal transformation ⇔ ( A(α) , A(β) )=(α,β). (∀α,β∈V) Question: Prove: If A is...

How to prove any orthogonal transformation can be represented by the product of many mirror transformations, please?What's the intuitive meaning of this proposition? Thank you.