Solved: Let L: R2 -'> H2 be defined by L (x ) = Ax. for x in H2. where A is an
Chapter 7, Problem 32(choose chapter or problem)
Let L: R2 -'> H2 be defined by L (x ) = Ax. for x in H2. where A is an orthogonal matrix. 33. (a) Prove that if det(A) = l. then L is a counterclockwise rotation. (b) Prove that if det(A) = - I. then L is a reflection about the x-axis. followed by a counterclockwise rotation.
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