This book is for sophomore level or junior/senior level first courses in linear algebra and assumes calculus as a prerequisite. This thorough and accessible text, from one of the leading figures in the use of technology in linear algebra, gives students a challenging and broad understanding of the subject. The author infuses key concepts with their modern practical applications to offer students examples of how mathematics is used in the real world. Each chapter contains integrated worked examples and chapter tests. The book stresses the important roles geometry and visualization play in understanding linear algebra.
1 : Matrices and systems of equations
2 : Determinants
3 : Vector spaces
4 : Linear transformations
5 : Orthogonality
6 : Eigenvalues
7 : Numerical linear algebra
8 : Iterative methods
9 : Canonical Forms