Let Q be an orthogonal 2 2 matrix and let x and y be vectors in 2 . If u is the angle
Chapter 5, Problem 5.1.27(choose chapter or problem)
Let Q be an orthogonal 2 2 matrix and let x and y be vectors in 2 . If u is the angle between x and y, prove that the angle between Qx and Qy is also u. (This proves that the linear transformations defined by orthogonal matrices are angle-preserving in 2 , a fact that is true in general.) 28
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