# Math 2321: Linear Algebra II

## Final Examination

Your final examination will be held on Thursday, April 10 from 1:00pm-4:00pm in room LA 282.

## Exam Period Office Hours

 Monday, April 7 10:00–12:00 Tuesday, April 8 10:00–12:00 Wednesday, April 9 10:00–11:30

If necessary, meetings outside these scheduled hours may be made by appointment.

## Suggested Homework, Recitations, and Tests

Week of Lecture Topics Suggested Homework Recitations
January 6 Review (3.5)
Eigenvalues and Eigenvectors (4.1)
3.5  #1–8, 12, 18, 22, 26, 29, 33, 39–43, 45, 49, 51, 55, 57, 59
4.1  #1–3, 9, 11, 23–32, 35, 36
Recitation 1 & Solutions
January 13 Eigenvalues and Eigenvectors (4.1 cont'd)
Determinants (4.2)
4.2  #1, 5, 7, 11, 13, 23, 25, 44, 45, 53, 55
Recitation 2 & Solutions
January 20 E-values and E-vectors of NxN matrices (4.3) 4.3  #1, 3, 5, 7, 11, 15, 17, 18, 19, 21–24, 33
January 27 Change of Basis
Similarity and Diagonalization (4.4)
4.4  #5–15, 17, 23, 25, 27, 30, 31, 34, 35, 37, 41, 42 Cancelled.
February 6 The Power Method (4.5)
Orthogonality (5.1)
4.5  #1, 3, 9, 25, 29, 33
5.1  #1–3, 6, 7, 9, 11, 13, 15
Recitation 4 & Solutions
February 10 Midterm Test #1 (Tuesday Feb. 11)
Orthogonal Matrices (5.1 cont'd)
5.1  #16, 18, 19, 27, 34, 35, 37 Midterm #1 & Solutions
Recitation 5 & Solutions
February 24 Orthogonal Complements (5.2)
Gram-Schmidt Orthogonalization (5.3)
5.1  #34
5.2  #3, 5, 9, 13, 17, 19, 21, 24–29
5.3  #1, 3, 6, 8, 9, 11, 14, 15, 20
Recitation 6 & Solutions
March 3 Orthogonal Diagonalization (5.4)
5.4  #5, 7, 9, 13–16, 27
5.5  #26, 31, 33, 35, 37, 51, 52, 57, 73, 75
Recitation 7 Solutions
March 10 Vector Spaces and Subspaces (6.1)
Midterm Test #2 (Friday Mar. 14)
6.1  #1–21, 22, 23, 24–41, 46, 47, 48 Midterm #2 & Solutions
March 17 Vector Spaces and Subspaces (6.1 cont'd)
Linear Independence, Basis, and Dimension (6.2)
6.1  #51, 53, 55, 57, 59, 61, 62, 64
6.2  #3, 7, 10, 13, 19, 23, 27, 29, 34–39, 49, 51–53
6.2  #15, 17, 31, 33, 41, 58
Guided homework from 6.1
March 24 Change of Basis (6.3)
Linear Transformations (6.4)
6.3  #4, 7, 10, 15, 17, 19, 21
6.4  #1–12, 15, 19, 20, 22, 24
Recitation 9 & Solutions
March 31 Kernel and Range (6.5)
The Matrix of a Linear Transformation (6.6)
6.4  #25, 27, 31, 33
6.5  #3, 4, 7, 11, 13, 15, 17, 21, 27, 35
6.6  #3, 5, 7

Last updated April 4, 2014