Mathematics 5333
Linear Algebra and Matrices
Schedule/Homework
Homework after Midterm I
Date  Topic  Homework 
Thursday 10/7  Inner products  Handout # 3 All HW Due Thursday 10/28 Handout # 3 Problems 4, 5 
Tuesday 10/12  Inner products  Section 15 # 13, 6, 7, 9, 10 
Thursday 10/14  Determinants  Handout # 4 All 
Tuesday 10/19  Determinants  Section 16 # 1 ac, 2 
Thursday 10/21  No class  Read Section 17 
Tuesday 10/26  Properties of determinants  Section 17 # 1, 2 
Thursday 10/28  Expansion of A. Cramer's rule 
Section 18 # 1, 2, 5; Section 19 # 1, 2, 3, 11 
Tuesday 11/02  Polynomials. Complex Numbers  Section 20 # 1, 5, 9 Section 21 # 1 
Thursday 11/04  Characteristic polynomial  Handout # 5 All 
Tuesday 11/09  Eigenvalues and eigenvectors  Handout # 6 All 
Thursday 11/11  Diagonalization  Worksheet All 
Tuesday 11/16  Triangularization  Handout # 7 All; Section 22 # 4, 12; Section 23 # 4,
6 HW Due Tuesday 11/30 # 22.4, 22.12, 23.4, 23.6, Handout # 7 Problems 5, 6 
Thursday 11/18  Jordan canonical form  
Tuesday 11/23  Jordan canonical form  
Thursday 11/25  Thanksgiving Holidays  
Tuesday 11/30  Review  
Thursday 12/02  Review  
Tuesday 12/07  Final Examination 
Homework for Midterm I
Tuesday 8/24  Vector Spaces  Handout #1 Problems 17 
Thursday 8/26  Subspaces and Linear dependence  Section 4 # 1, 410 
Tuesday 8/31  Basis and dimension

Section 5 # 15 Section 6 # 15 
Thursday 9/2  Finitely generated vector spaces  Study Theorem 6.16 p. 46; Read pages 5152, Do Problems # 16 on page 52 
Tuesday 9/7  Systems of linear equations  Section 8 # 14 HW Due on Tuesday 09/14 # 4.10, 7.3, 8.4 
Thursday 9/9  Systems of homogeneous equations  Section 9 # 1, 2 (b, d, f, g), 3, 4 
Tuesday 9/14  Linear manifolds  Section 10 # 2, 3, 4, 9, 10 
Thursday 9/16  Linear transformations  Section 11 # 1, 3 
Tuesday 9/21  Linear transformations (cont'd)  Section 11 # 1, 3, 4, 5, 6, 8, 10 
Thursday 9/23  Operations on matrices  Section 12 # 2, 4, 5, 7 (a, c, e) 
Tuesday 9/28  Linear transformations and matrices  Section 13 # 1, 2, 3, 11 
Thursday 9/30  Review  
Tuesday 10/5  Midterm  