دانلود کتاب Linear Algebra

فهرست مطالب :

Preface Outline Systems of Equations and Matrices Introduction Systems of Equations Solving Systems of Equations Matrices Matrix Arithmetic & Operations Properties of Matrix Arithmetic and the Transpose Inverse Matrices and Elementary Matrices Finding Inverse Matrices Special Matrices LU-Decomposition Systems Revisited Determinants Introduction The Determinant Function Properties of Determinants The Method of Cofactors Using Row Reduction To Compute Determinants Cramer’s Rule Euclidean n-Space Introduction Vectors Dot Product & Cross Product Euclidean n-Space Linear Transformations Examples of Linear Transformations Vector Spaces Introduction Vector Spaces Subspaces Span Linear Independence Basis and Dimension Change of Basis Fundamental Subspaces Inner Product Spaces Orthonormal Basis Least Squares QR-Decomposition Orthogonal Matrices Eigenvalues and Eigenvectors Introduction Review of Determinants Eigenvalues and Eigenvectors Diagonalization