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Department of Mathematics, University of TorontoMAT223H1F - Linear Algebra ISuggestions for Review: Final ExamThe following is more of a review sheet for the material after Midterm II than it is one for the final exam. Iwould suggest using the review sheets for the two midterm exams along with this one, as review sheets forthe final exam.This may not cover every idea you need to master (not that I’m intentionally omitting something) but isintended to identify and solidify the main points and connections between various concepts.I suggest before you go through this document that you read through all your class notes and/or the text-book and, as you’re reading, solve questions as you encounter a new topic. You should at least attempt tosolve all the computational style questions from the textbook, then some of the Find an Example questionsand some of the True or False questions. Once you’ve systematically worked through all the material fromthe beginning, only then read this document.Organizing and carrying out your own review is a criticalstep to understanding and mastering new material. It is much more valuable than going through someoneelse’s review. You should be able to state definitions precisely and make connections between various ideas.You should be able to solve particular examples explaining you reasoning at every step. If you are doinga proof and you are using a theorem to help complete the proof, you should state the theorem precisely.Writing something like ”By Theorem in the textbook, yadda, yadda, yadda...” is not acceptable. You mayfind working in small groups may worthwhile.I hope this helps. Good Luck!