Contents: 1. Matrices andSystems of Equations 1.1 Systems of LinearEquations 1.2 Row Echelon Form 1.3 Matrix Arithmetic 1.4 Matrix Algebra 1.5 ElementaryMatrices 1.6 PartitionedMatrices MATLAB Exercises Chapter Test A — Trueor False Chapter Test B 2. Determinants 2.1 The Determinantof a Matrix 2.2 Properties ofDeterminants 2.3 Additional Topicsand Applications MATLAB Exercises Chapter Te…
Intended for a serious first course or a second course, this textbook will carry students beyond eigenvalues and eigenvectors to the classification of bilinear forms, to normal matrices, to spectral decompositions, and to the Jordan form. The authors approach their subject in a comprehensive and accessible manner, presenting notation and terminology clearly and concisely, and providing smooth t…