2. Suppose f: E" E" is an isometry given by f(v) = Ae for some n x n matrix A, n2 2. a) Show that g: E" + E" defined by g(v) 34AA" (r) + 69v is not an isometry. b) Show that h: E" E" defined by h(v) A (e) is also an isometry. %3D Justification:
2. Suppose f: E" E" is an isometry given by f(v) = Ae for some n x n matrix A, n2 2. a) Show that g: E" + E" defined by g(v) 34AA" (r) + 69v is not an isometry. b) Show that h: E" E" defined by h(v) A (e) is also an isometry. %3D Justification:
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.4: The Singular Value Decomposition
Problem 27EQ
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