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Unformatted text preview: Answers to your questions 02/24/10: Administrative questions 1. Will the final be more similar to worksheets or quizzes? Quizzes. 2. Are there going to be any proofs on this Thursday’s quiz? A very small one. 3. Are the problems on the quiz going to be similar to lecture or homework? Similar to lecture. But aren’t the problems of lecture and homework similar? 4. Thank you for reviewing the materials before class. You are welcome. Thank you for the comments. I appreciate it. 5. Can you give us some practice problems to prepare for the quiz? Sorry I don’t have the textbook. Find some problems from the textbook that is similar to the examples in lecture notes. Or do those examples and homework problems again. 6. What is going to be dropped? 2 lowest from quizzes and worksheets. 2 lowest homeworks. 7. About 121B. It will be same format. Will cover the rest of the book. Questions on general topics 8. Why can’t infinite dimensional vector spaces be isomorphic to another infinite dimnenstional vector space? That’s a very good point. Generally we don’t define isomorphism for infinite dimensional space since things get more complicated when it involves infinity. For example, there are different infinities, like rational numbers and real numbers. The details can be found in an analysis book. Questions for today’s lecture 9. Doesn’t dim(V)=dim(W) imply that the transformation is 1-1 and onto by theorem in section 2.1? You need both dim(V)=dim(W) and 1-1 (onto) to prove the transformation is onto (1-1)....
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