Consider an SVDA = UY.Vof an n x m matrix A. Show that the columns of U form an

Chapter 8, Problem 23

(choose chapter or problem)

Consider an SVDA = UY.Vof an n x m matrix A. Show that the columns of U form an orthonormal eigenbasis for A A1. What are the associated eigenvalues? What docs your answer tell you about the relationship between the eigenvalues of ATA and A A1 ? (Compare this with Exercise 7.4.57.)

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