Math 218: Matrices and Vectors

Welcome! You have found the homepage of the Fall 2022 manifestation of Math 218.

Exam I

Exam I is scheduled to take place in class on Mon 3-Oct (rescheduled) and will cover all topics from Weeks 1-4.

The exam will be four single-sided pages and consist of mostly free-response problems with a few fill in the blank and multiple choice questions. You should be prepared to solve problems that you have not seen before.

The exam will be "closed" in the sense that no outside aid (like books or calculators) will be allowed. The only thing you need to bring is a writing utensil.

To prepare for the exam, you should be able to:

• Correctly articulate all definitions and theorems from lecture.
• Clearly and coherently solve all examples from lecture.
• Write correct and legible solutions to all problems from the problem sets and discussion worksheets.
• Clearly explain how to solve each comprehension quiz problem.

If you feel confident that you can accomplish everything described above and would like some additional practice, here are some optional problems from Gilbert Strang's textbook. Solutions to these problems will not be provided, but I will happily discuss them in office hours.

• Section 1.1 Exercises 1-4, 6, 31
• Section 1.2 Exercises 4, 6(a), 8, 12-14, 31
• Section 1.3 Exercises 3, 4, 6, 8, 10 (ignore the term "independent" in all these problems)
• Section 2.1 Exercises 9-12, 13(a), 18, 19, 32
• Section 2.2 Exercises 5, 9, 12, 19
• Section 2.3 Exercises 1-3, 6, 23, 25
• Section 2.4 Exercises 1, 2, 15, 17(a, b)
• Section 2.5 Exercises 6-9, 12, 18, 27
• Section 2.6 Exercises 8
• Section 2.7 Exercises 12, 16, 17(a), 19, 22
• Section 3.3 Exercises 18-21, 31, 33

My Fall 2021 and Spring 2022 Exam I and solutions are posted below. These could be useful study tools, but don't expect this semester's exam to look anything like the previous semesters.

• Fall 2021 (solutions)
• Spring 2022 (solutions)