Mathematics 5333 – Linear Algebra and Matrices – Schedule/Homework and Midterm I

DateTopicHomework
Thursday 10/7Inner productsHandout # 3 All
HW Due Thursday 10/28  Handout # 3 Problems 4, 5
Tuesday 10/12Inner productsSection 15 # 1-3, 6, 7, 9, 10
Thursday 10/14DeterminantsHandout # 4 All
Tuesday 10/19DeterminantsSection 16 # 1 a-c, 2
Thursday 10/21No classRead Section 17
Tuesday 10/26Properties of determinantsSection 17 # 1, 2
Thursday 10/28Expansion of  |A|.
Cramer’s rule		Section 18 # 1, 2, 5; 
Section 19 # 1, 2, 3, 11
Tuesday 11/02Polynomials. Complex NumbersSection 20 # 1, 5, 9
Section 21 # 1
Thursday 11/04Characteristic polynomialHandout # 5 All
Tuesday 11/09Eigenvalues and eigenvectorsHandout # 6 All
Thursday 11/11DiagonalizationWorksheet All
Tuesday 11/16TriangularizationHandout # 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 11/18Jordan canonical form 
Tuesday 11/23Jordan canonical form 
Thursday 11/25Thanksgiving Holidays 
Tuesday 11/30Review 
Thursday 12/02Review 
Tuesday 12/07Final Examination 

Homework for Midterm I

Tuesday 8/24Vector SpacesHandout #1 Problems 1-7
Thursday 8/26Subspaces and Linear dependenceSection 4 # 1, 4-10
Tuesday 8/31Basis and dimension Section 5 # 1-5Section 6 # 1-5
Thursday 9/2Finitely generated vector spacesStudy Theorem 6.16 p. 46; Read pages 51-52, Do Problems  #  1-6 on page 52
Tuesday 9/7Systems of linear equationsSection 8 # 1-4
HW Due on Tuesday 09/14 # 4.10, 7.3, 8.4
Thursday 9/9Systems of homogeneous equationsSection 9 # 1, 2 (b, d, f, g), 3, 4
Tuesday 9/14Linear manifoldsSection 10 # 2, 3, 4, 9, 10
Thursday 9/16Linear transformationsSection 11 # 1, 3
Tuesday 9/21Linear transformations (cont’d)Section 11 # 1, 3, 4, 5, 6, 8, 10
Thursday 9/23Operations on matricesSection 12 # 2, 4, 5, 7 (a, c, e)
Tuesday 9/28Linear transformations and matricesSection 13 # 1, 2, 3, 11
Thursday 9/30Review 
Tuesday 10/5Midterm