# Linear Algebra I

MTH 615
Fall 2015
Department of Mathematics, LIU Post

 Class Dates Material Homework Handouts 9/9 Linear systems p. 9: 1.18, 1.22a, 1.34p. 73: 1, 3Balance P4O10 + H20 -> H3PO4 Gauss--Jordan algorithmDemonstration 1Demonstration 2 9/16 Mathematica introductionVectors in R^n p. 9: 1.18 (last time) - write solutions as linear combinations plusparticular solutionp. 33: 3.21, 3.24 Mathematica Intro.nb version 9/23 p. 35-42, p. 90-101 p. 21: 2.22*p. 41: 1.4, 1.7*p. 97: 2.22*, 2.27abc*Draw graphs in MathematicaRead p. 77-81 Graphing Notebook 9/30 Vector Spaces, Span p. 88: 1.28p. 97: 2.23, 2.25*, 2.27ef, 2.29*Answer question in Mathematica 10/7 Linear IndependenceBasisp. 101-116 p. 100: 2.43p. 109: 1.22*, 1.23*, 1.28ap. 117: 1.18, 1.21**Answer question in Mathematica Symbolic Row Reductionfunction for Mathematica 10/14 Basis, Coordinates p. 110: 1.24p. 118: 1.20Use Mathematica to show {1, x, x^2, ..., x^30} lin indep as functions The Table function 10/21 Linear maps p. 186: 1.19, 1.22, 1.25p. 198: 2.21, 2.23, 2.40abc (null space = kernel, and range space = image)No Mathematica required (you are still allowed to use it) 10/28 No class 11/4 Rank-Nullity p. 198: 2.22 (determine kernel and image), 2.25, 2.34No Mathematica required 11/11 Matrix representationof linear map p. 210: 1.16, 1.18, 1.27p. 218: 2.12, 2.16 Mathematica: see email 11/18 Matrix Inverse Change of basis p. 231: 2.19p. 249: 4.15acd, 4.18, 4.29 p. 262: 2.12No Mathematica required Some notes 11/25 No class (Thanksgiving) 12/2 Matrix PowersMarkov Chains p. 304: 2, 3 (both with Mathematica) Mathematica notes, pdfFYI: Manipulate ListPlot 12/9 Review Study for Final ExamExtra credit assignment Review sheetPartial solutions 12/16 Final Exam