• Welcome to Advanced Linear Algebra! All important dates and other information will be posted here.

Important Information

Course Syllabus
Canvas (Check your grades)

• Exam 1: Friday, February 13
• Exam 2: Friday, April 10
  
• Final Exam: Friday, May 1, 8:00-9:45
  

Handouts and Other Information

• Definition of a Vector Space
• Snow Day Notes for March 6
  

• Homework 1 - Due Friday, January 23 (Comments - Solutions)
  
• Section 1.2: 1-4, 7, 8, 9*, 10, 11, 12*, 13*, 14, 15*, 16, 17, 18*, 19-21
• Homework 2 - Due Friday, January 30 (Comments - Solutions)
• Section 1.3: 1-9, 10*, 11, 12, 13*, 15, 19, 23-29
  
• Section 1.4: 1-6, 7*, 8, 9, 11, 12*, 13, 15, 16
• Homework 3 - Due Friday, February 6
• Section 1.5: 1, 2, 3*, 4-7, 8a*, 9*, 13 (Don't worry about the "characteristic != 2" part; as usual, just assume F = R or C.), 14-18
• Homework A - Due Friday, February 13
• Section 1.6: 1-5, 7-9, 11, 12, 14, 16, 20, 22, 24, 26, 28
• Homework 4 - Due Friday, March 13
• Section 2.1: 1, 2*, 3, 4, 5*, 9, 10, 11*, 12, 14* ("T carries linearly independent subsets of V onto linearly independent subsets of W" means the following: If {v_1, v_2,..., v_n} is a linearly independent subset of V, then {T(v_1), T(v_2),..., T(v_n)} is a linearly independent subset of W.), 16, 17*
• Homework 5 - Due Friday, March 20
• Section 2.2: 1, 2, 3*, 4*, 8*, 9, 10, 13
• Section 2.3: 1, 2a, 3*, 9, 11* (Reminder: T^2 = TT is the composition of T with itself), 12
• Homework 6 - Due Monday, April 6
• Section 2.4: 1-3, 4*, 6-10, 15* (You may assume V and W are finite-dimensional. Also, feel free to reference a previous homework problem if you so desire.), 16* (Note: An isomorphism from a vector space V onto itself is typically called an *automorphism* of V.), 17, 20
• Homework B - Due Monday, April 13
• Section 3.1: 1-3
• Homework 7 - Due Monday, April 20
• Section 3.2: 1-4, 5*, 6* (Follow the method of Example 7, the last example from Section 3.2 presented in class.), 7, 8
• Homework 8 - Due Monday, April 27
• Section 3.3: 1, (2a-2c)*, 3, 4*, 6, 7a*, 7b*, 8
• Section 3.4: 1, (2a-2c)*, 2e*, 5
• Homework C - Due Friday, May 1
• Section 4.1: 1-3, 5
• Section 4.2: 1, 5, 7, 11, 13, 14, 21, 25