High level linear algebra book that blends both computational and theoretical aspects, using each to enhance the other. Explains the key points of the Gaussian elimination algorithm. Discusses vector spaces and linear transformations using matrix computations. Takes advantage of software packages such as MATLAB, Mathematica, and Maple.
Matrix Algebra. Vector Spaces and Linear Transformations. Orthogonality and Projections. Eigenvalues and Eigenvectors. The Spectral Theorem and Applications. Normal Forms. Appendices. Bibliography. Index.