Linear Algebra and Matrix Theory
Assignments
Fall 2026

This page will be updated gradually.

• Read before class.
• "Yes/no" answers are not solutions; always justify your answer. (That is true for all homework in this class.) You can turn in the work on paper any time up to 4:30 p.m. There is an envelope on my office door where you can leave homework, if you don't have it ready in class. (The envelope is always open.)
• Read every assigned problem, both recommended and hand-in. Some of the ones you don't solve may have useful information.
• I do not expect you to solve all the problems. Solve as many as you can do a good job on. A few good solutions are worth more than many bad solutions. Note that use of AI does not contribute to your learning (maybe the AI learns).
• § means "section".
• Boldface numbers denote problems that were graded.

No.	Week	Reading		Hand in	Notes
0.	Before Day 1	Chapter 1.			This should be almost entirely review. Notice what's not, e.g., lists.
1.	Week 1 8/19-21	Ch. 1 and 2 and §§ 3A-B.		F 8/21: 1B #1 and 1C ## 5, 6.	Ch. 1 and 2 are elementary; watch out for tiny new bits. Ch. 3 is more serious and long.
2.	Week 2 8/24-28	§§ 3C(8/24), D(8/26), E(8/28).		F 8/28: 2A #7; 2B #1, 6; 2C #8; 3A #2, 7, 12; 3B #16; 3C #4.
3.	Week 3 8/31-9/4	§ 3F(8/31), Ch. 4(9/4).		F 9/4: 3B # 21; 3C ## 12, 16; 3D ## 3, 15; 3E ## 1, 2, 10; 3F ## 1, 2.	§ 3F will take more than one class day. Most of Ch. 4 should be familiar.
4.	Week 4 (Tues, Wed) 9/8-9	§ 3F, Ch. 4, and the (optional) duality notes.		W 9/9: 3F ## 5, 14(a,b); Ch. 4 ## 3, 5.	See the solutions to the 3F problems. The duality notes are a write-up of how to compute the dual mapping T' of a linear map T; but see Theorem 3.132 for a simpler answer and proof. In some Ch. 4 problems, the letter F means any field.
5.	9/14-18	§ 5A, begin 5B.		F 9/18: 3F ## 8, 9, 15(a,b), 19, 22(a,b); 5A ## 2, 6, 8, 12, 15.	Start early. Some are easy.
6.	9/23-25	W: Test 1 review. F: § 5B.		F 9/25: 3F # 24(a,b); 5A # 23.
7.	9/28-10/2	F: § 5C		—	Test 1, Wed. 9/25, covering everything up to 5A (but not 5B).
8.	10/5-9	§§ 5C-E
9.	10/19-23	§§ 5E, 6A-B
10.	10/26-30	§ 6B, § 6C on Orthogonal complements
11.	11/2-6	§§ 7A-C
12.	11/9-13	M: § 7D (to QR). W: Review			Test 2, Fri 11/13.
13.	11/16-20	Ch. 8
14.	11/23-24 (Mon-Tues)	Ch. 8
15.	11/30-12/4	§§ 9A-C
16.	12/7	Course review
	12/10-16				Final Exam, Fri. 12/11/26 at 8:00 am in CW 112.