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 # 1-3, 6, 7, 9, 10 Thursday 10/14 Determinants Handout # 4 All Tuesday 10/19 Determinants Section 16 # 1 a-c, 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 1-7 Thursday 8/26 Subspaces and Linear dependence Section 4 # 1, 4-10 Tuesday 8/31 Basis and dimension Section 5 # 1-5Section 6 # 1-5 Thursday 9/2 Finitely generated vector spaces Study Theorem 6.16 p. 46; Read pages 51-52, Do Problems  #  1-6 on page 52 Tuesday 9/7 Systems of linear equations Section 8 # 1-4 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