Embedded Files
Description
This is a collection of notes for a one-semester course in linear algebra taught at San Jacinto College (Houston, Texas). The notes are suited for a first course in linear algebra taken by students who have completed one year of single-variable calculus. Unlike most traditional linear algebra textbooks, these notes begin with the ideas of vector spaces and linear functions (transformations). Since functions play a central role in calculus, this approach should seem more natural to students. Systems of linear equations and matrix theory are presented afterward as consequences of the preceding material. The result is an economical (only 175 pages) treatment of the main themes of linear algebra along with a few applications of the theory to geometry, economics, and cryptography.
Individual Chapters
Chapter 01 Planar and Spatial VectorsChapter 02 Length, Angles, and ProjectionsChapter 03 Vectors Spaces and Subspaces.pdfChapter 04 Linear Combinations and Spanning Sets.pdfChapter 05 Linear Dependence and Independence.pdfChapter 06 Bases and DimensionChapter 07 Introduction to Linear Transformations.pdfChapter 08 Further Properties of Linear Transformations.pdfChapter 09 Linear Transformations and Matrix Arithmetic.pdfChapter 10 Further Properties of Matrix Arithmetic.pdfChapter 11 Invertibility and Isomorphisms.pdfChapter 12 Change of Basis and Similarity.pdfChapter 13 Elementary Row Operations and Matrix Rank.pdfChapter 14 Applications of Row Reduction.pdfChapter 15 Solution Theory for Systems of Linear Equations.pdfChapter 16 Two More Applications of Matrix Theory.pdfChapter 17 The Determinant of a Matrix.pdfChapter 18 Eigenbases and Diagonalization.pdfChapter 19 Introduction to Inner Product Spaces.pdfChapter 20 Rigid Transformations of Ellipses, Hyperbolas, and Parabolas.pdfAppendix A: A Closer Look at Laplace's Formula.pdfAppendix B: Introduction to Mathematical Language.pdfAppendix C: A Brief Look at Fields.pdfAppendix D: Further Open-source Readings.pdfPage updated
Google Sites
Report abuse