Each chapter ends with a list of references for further reading. Undoubtedly, these will be useful for anyone who wishes to pursue the topics deeper. … the book has many MATLAB examples and problems presented at appropriate places. … the book will become a widely used classroom text for a second course on linear algebra. It can be used profitably by graduate and advanced level undergraduate students. It can also serve as an intermediate course for more advanced texts in matrix theory. This is a lucidly written book by two authors who have made many contributions to linear and multilinear algebra.—K.C. Sivakumar, IMAGE, No. 47, Fall 2011Always mathematically constructive, this book helps readers delve into elementary linear algebra ideas at a deeper level and prepare for further study in matrix theory and abstract algebra.—L’enseignement Mathématique, January-June 2007, Vol. 53, No. 1-2

• The Idea of Inverse. Generating Invertible Matrices. Subspaces Associated to Matrices. The Moore Penrose Inverse. Generalized Inverses. Norms. Inner Products. Projections. Spectral Theory. Matrix Diagonalization. The Jordan Canonical Form. Multilinear Matters.

Each chapter ends with a list of references for further reading. Undoubtedly, these will be useful for anyone who wishes to pursue the topics deeper. … the book has many MATLAB examples and problems presented at appropriate places. … the book will become a widely used classroom text for a second course on linear algebra. It can be used profitably by graduate and advanced level undergraduate students. It can also serve as an intermediate course for more advanced texts in matrix theory. This is a lucidly written book by two authors who have made many contributions to linear and multilinear algebra.—K.C. Sivakumar, IMAGE, No. 47, Fall 2011Always mathematically constructive, this book helps readers delve into elementary linear algebra ideas at a deeper level and prepare for further study in matrix theory and abstract algebra.—L’enseignement Mathématique, January-June 2007, Vol. 53, No. 1-2

• The Idea of Inverse. Generating Invertible Matrices. Subspaces Associated to Matrices. The Moore Penrose Inverse. Generalized Inverses. Norms. Inner Products. Projections. Spectral Theory. Matrix Diagonalization. The Jordan Canonical Form. Multilinear Matters.