About the Book: Introduction to Matrix Analysis and Applications
Matrix analysis is the study of matrices and their algebraic properties. Some
particular topics out of many include; operations defined on matrices (such as
matrix addition, matrix multiplication and operations derived from these),
functions of matrices (such as matrix exponentiation and matrix logarithm, and
even sines and cosines etc. of matrices), and the eigenvalues of matrices
(eigendecomposition of a matrix, eigenvalue perturbation theory). Matrices can
be studied in different ways. They are a linear algebraic structure and have a
topological/analytical aspect and they also carry an order structure that is
induced by positive semidefinite matrices. The interplay of these