Question: Q3. Let A E Rnxm, n 2 m. a) Use the SVD of A to deduce the SVD of AT A. b) If m =

Q3. Let A E Rnxm, n 2 m. a) Use the SVD of A to deduce the SVD of AT A. b) If m = n and A is full-rank, use a) to show that ||AT All2 = || All? and K2(ATA) = 1 2 ( A ) 2

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