We say that a linear transformation T from R3 to R3 preserves orientation if it

Chapter 6, Problem 20

(choose chapter or problem)

We say that a linear transformation T from R3 to R3 preserves orientation if it transforms any positively oriented basis into another positively oriented basis. (See Exercise 19.) Explain why a linear transformation TO?) = Ajc preserves orientation if (and only if) det A is positive.

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