Let L: R2 R2 be defined by L(x) = Ax, for x in R2, where A
Question:
(a) Prove that if det(A) = 1, then L is a counterclockwise rotation?
(b) Prove that if det(A) = -1, then L is a reflection about the x-axis, followed by a counterclockwise rotation?
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a By Exercise 9b if A is an orthogonal matrix and detA 1 ...View the full answer
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Related Book For
Elementary Linear Algebra with Applications
ISBN: 978-0132296540
9th edition
Authors: Bernard Kolman, David Hill
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