Instructor: Yitzhak Katznelson Room 382-U Office hours: by appointment. email: katznel@math

Textbook: Y. Katznelson and Y. R. Katznelson, A (terse) Introduction to Linear Algebra, AMS, 2007. The library has many other linear algebra books! It can be quite enlightening to read different descriptions or explanations of a given phenomenon, different proofs or even just differently worded proofs of a given statement! Course description: Prerequisite for Math 114 is Math 113 (or equivalent). The first few sessions will be used to review the presumably known material and to establish a common basis for what will follow. Midterm and Final Exams There will be one midterm, and a final exam, both takehome. Weekly Homework Assignments The first homework assignment will be posted on Friday April 4, and will be due in class a week later. #1, due April 11. Exercises: ex3.1.1, ex3.1.3, ex3.1.5, ex3.1.8, ex3.2.1. Chapter 3, ``Duality ...'' will be done in class on Monday and the material in chapter 4, ``Determinants'' on Wednesday and Friday. #2, due April 18. Exercises: ex4.5.3, ex4.5.4, ex4.5.5, ex4.5.6, ex4.5.7, ex4.5.8. Answers HW2. Monday will be devoted to the rest of chapter 4; Wednesday and Friday to begin the topic of invariant subspaces, chapter 5. #3, due April 25. Exercises: ex4.5.15, ex4.5.16, ex4.5.18, ex5.1.1, ex5.1.2, ex5.1.3. Answers HW3. #4, due May 2. Exercises: ex5.2.1, ex5.2.2, ex5.2.6, ex5.3.2, ex5.3.3, ex5.3.5, ex6.1.9, ex6.1.10. Answers HW4. #5, due May 9. Exercises: ex5.3.9, ex5.3.10, ex5.3.11, ex5.3.12, ex5.3.13, ex5.3.18. Midterm superset. The midterm consists of problems 6, 7, 9, 12, 14, and 15 of the superset. #6, due May 23. Exercises: ex6.5.3, ex6.5.5, ex7.1.1, ex7.2.5, ex8.1.2, ex8.1.3. #7, due May 30. Exercises: *ex6.5.7, ex8.3.1, ex8.3.2, ex8.3.3. Final superset. The final exam consists of problems 1, 2, 15, 16, and 20 of the Final superset. Bonus problem: Prove that the symmetric 2X2 matrix with 1 and 2 on the diagonal and i/2 off the diagonal is not diagonalizable.