Question: Let 4 O 0 0 0 O 0 0 1 1 0 0 0 0 0 N A = (1/2) 0 1 0 0 10

Let 4 O 0 0 0 O 0 0 1 1 0 0 0 0 0 N A = (1/2) 0 1 0 0 10 0 0 0 1 0 0 Use what you know about SVD's to answer the following with as little calculation as possible. Explain how you got your answer. If you calculate this product and then answer the questions without using the provided factorization you're wasting your time (and won't get many points); you'd be better off reviewing the materials on SVD's. 1. What is the rank of A? 2. Find a basis for Col A. 3. Find a basis for Null A. 4. Find all the solutions x of Ax OHHO

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