MATRIX ALGEBRA WITH MATHEMATICA

Most topics in symbolic and numerical computation are covered using Mathematica. This book delves into matrix algebra, including variables, functions, vectors, matrices, arrays, matrix operations, diagonalization, matrix decomposition, eigenvalues, eigenvectors, vector spaces, linear transformations, quadratic forms, linear systems, vector geometry, and algebraic structures such as lists, rules, and patterns. It highlights applications of matrix algebra to differentiability and vector fields through Hessian and Jacobian matrices. Each chapter begins with methodological notes and is enriched with a wide variety of examples and exercises solved using Mathematica.