A linear operator on is called rigid if it does not change the lengths of vectors, and
Chapter 7, Problem 21(choose chapter or problem)
A linear operator on is called rigid if it does not change the lengths of vectors, and it is called angle preserving if it does not change the angle between nonzero vectors. (a) Name two different types of linear operators that are rigid. (b) Name two different types of linear operators that are angle preserving. (c) Are there any linear operators on that are rigid and not angle preserving? Angle preserving and not rigid? Justify your answer.
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