Course: MAT 167-001: Advanced Linear Algebra
CRN: 69752
Class: MWF 10:00am-10:50am, Cruess 107

Instructor: Naoki Saito 
Office: 675 Kerr 
Email: saito@math.ucdavis.edu
Office Hours: MW 11:00am-12:30pm

TA: Wei Yu
Office: 476 Kerr 
Email: yuwei@math.ucdavis.edu
Office Hours: Tu: noon-1:00pm, Th: noon-2:00pm

• Assigned on Friday April 2:
• Read Sec. 1.1-1.2.
• Do Exercises 1.2.3, 1.2.5, 1.2.6, 1.2.8, 1.2.9, 1.2.10, 1.2.11.
• Assigned on Monday April 5:
• Read Sec. 1.3, 2.1-2.3.
• Do Exercises 1.3.3, 2.1.1(a)(b), 2.1.2, 2.1.6, 2.2.1(a), 2.2.2, 2.2.5, 2.3.1(a)(d), 2.3.3, 2.3.5.
• Assigned on Wednesday April 7:
• Read Sec. 2.4-2.5.
• Do Exercises 2.4.2, 2.4.3, 2.4.8, 2.4.6, 2.5.4, 2.5.5, 2.5.6.

• Assigned on Friday April 9:
• Review Sec. 3.1-3.7 and examine Example 3.5.2.
• Read Sec. 3.9
• Do Exercises 3.9.4, 3.9.7. (More exercises in Sec. 3.9 will be assigned on Monday. Have a nice weekend!)
• Assigned on Monday April 12:
• Read Sec. 3.10
• Do Exercises 3.9.2, 3.9.5, 3.9.6, 3.9.9, 3.10.1.
• Assigned on Wednesday April 14:
• Do Exercises 3.10.3, 3.10.5, 3.10.6.

• Assigned on Friday April 16:
• Read Sec. 4.1. Read 4.2 too if possible.
• Do Exercises 4.1.1, 4.1.2, 4.1.6, 4.1.7, 4.1.8, 4.1.9.
• Assigned on Monday April 19:
• Read Sec. 4.2
• Do Exercises 4.2.1, 4.2.2, 4.2.3, 4.2.6, 4.2.8.
• Assigned on Wednesday April 21:
• Read Sec. 4.3
• Do Exercises 4.3.2, 4.3.3, 4.3.6, 4.3.8.

• Assigned on Friday April 23:
• Read Sec. 4.4.
• Do Exercises 4.3.13, 4.4.1, 4.4.2, 4.4.4, 4.4.6, 4.4.17.
• Assigned on Monday April 26:
• Read Sec. 4.5.
• Do Exercises 4.5.1, 4.5.2, 4.5.5, 4.5.9
• Assigned on Wednesday April 28:
• Read Sec. 4.6, also make sure to read the Epilogue of page 233-234, and Sec. 4.7.
• Do Exercises 4.6.2, 4.6.3, 4.6.9, 4.7.2, 4.7.3.

• Assigned on Friday April 30:
• Read Sec. 4.7 and 4.8.
• Do Exercises 4.7.5, 4.7.6, 4.7.8, 4.7.11. The following problems will be assigned on Monday but I think you may want to know them now: 4.8.2, 4.8.3, 4.8.6, 4.8.7, 4.8.8.
• Assigned on Monday May 3:
• Read 4.8.
• Do Exercises 4.8.2, 4.8.3, 4.8.6, 4.8.7, 4.8.8.
• Assigned on Wednesday May 5:
• Read 5.1.
• Do Exercises 5.1.1.

• Assigned on Friday May 7:
• Read Sec. 5.1 and 5.2.
• Do Exercises 5.1.3, 5.1.8, 5.2.1, 5.2.2, 5.2.6, 5.2.7.
• Assigned on Monday May 10:
• Read Sec. 5.3 and 5.4.
• Do Exercises 5.3.2, 5.3.3, 5.4.1, 5.4.4, 5.4.5, 5.4.7, 5.4.8.
• Assigned on Wednesday May 12:
• Read Sec. 5.5.
• Do Exercises 5.5.1(a)(b), 5.5.2, 5.5.3, 5.5.4.

• Assigned on Friday May 14:
• Read Sec. 5.5.
• Do Exercises 5.5.5, 5.5.6, 5.5.9, 5.5.10, 5.5.11.
• Assigned on Monday May 17:
• Read 5.6 and 5.9. Check the errata of page 320 via the textbook webpage.
• Do Exercises 5.6.4, 5.6.5, 5.6.10, 5.6.11, 5.6.12, 5.9.4.
• Assigned on Wednesday May 19:
• Read 5.9.
• Do Exercises 5.9.1, 5.9.6, 5.9.7, 5.9.8, 5.9.10.

• Assigned on Friday May 21:
• Read Sec. 5.11.
• Do Exercises 5.11.1, 5.11.2, 5.11.3, 5.11.4, 5.11.6.
• Assigned on Monday May 24:
• Read Sec. 5.11.
• Do Exercises 5.11.7, 5.11.9, 5.11.10. Correction: I removed 5.11.8 since if you solve 5.11.8 with my suggestion, then it becomes the same as 5.11.9. (My suggestion for 5.11.8 was to use the RREF to determine the bases for the four fundamental subspaces and then do Gram-Schmidt procedure rather than the way used in Example 5.11.2.)
• Assigned on Wednesday May 26:
• Handout "Lecture 4" Exercises 1, 4, 5.
• Assigned on Tuesday June 1:
• Handout "Lecture 5" Exercise 1 (This problem refers to Example 3.1 and the matrix (3.7), which is the same matrix I used in the class when we discussed the 1-norm, 2-norm, infinity-norm of A=[1 2 ; 0 2];), and Exercise 3.
• Assigned on Wednesday June 2:
• No problem has been assigned because it takes a bit of time to do the other homework problems.