(REQUIRED) Consider a singular value decomposition A=UEVT, where -0.86 -0.11 -0.5 U 0.31 0.68 -0.67 0.41 -0.73 -0.55 = Σ = 12.48 0 0 0 06.34 0 0 0 0 0 0 VE = 0.66 -0.03 -0.35 0.66 -0.13 -0.9 -0.39 -0.13 0.65 0.08 -0.16 -0.73 -0.34 0.42 -0.84 -0.08
(2 points) What are the eigenvalues of AT A? Include multiplicity. (2 points) Consider the first term in the singular value decomposition in vector form: -0.86) օլնv 0u1V1? = 12.48 12.48 0.31 [0.66 -0.13 0.65 [0.66 -0.13 0.65 -0.34] Explain why this is a reasonable approxi- 0.41 mation to the matrix A. How many more terms like this would you need to add to get A exactly? =
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