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Unformatted text preview: Answers to your questions 02/26/10: Administrative questions 1. How many questions will next worksheet have? I dont know yet. 2. How are worksheets dropped? By percentage or grades? Percentage. Questions for todays lecture 3. To find g G , you can do row operations and column operations on one matrix. We do column operations only to find the rank of A. When solving the system, or finding the inverse, we only do row operations. 4. = 1 2 4 5 3 1 10 3 6 1 1 4 4 7 , instead of doing row operations, can I just state r1 is linearly independent of r2, r2 is linearly independent of r3, r3 is linearly independent of r1, so rank(A)=3? No. Think about this counterexample: (1,0), (0,1) and (1,1). 5. In general what would be the rank be of the product of 2 matrices? Good question. There is no general rule of this. 6. Can the rank of an nxn matrix ever be greater than n?...
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