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| Systems Of Linear Equations | |
| Introduction to Systems of Linear Equations | |
| Gaussian Elimination and Gauss-Jordan Elimination | |
| Applications of Systems of Linear Equations | |
| Matrices | |
| Operations with Matrices | |
| Properties of Matrix Operations | |
| The Inverse of a Matrix | |
| Elementary Matrices | |
| Applications of Matrix Op... MORE | |
| Determinants | |
| The Determinant of a Matrix | |
| Evaluation of a Determinant Using Elementary Operations | |
| Properties of Determinants | |
| Introduction to Eigenvalues | |
| Applications of Determinants | |
| Vector Spaces | |
| Vectors in R" | |
| Vector Spaces | |
| Subspaces of Vector Spaces | |
| Spanning Sets and Linear Independence | |
| Basis and Dimension | |
| Rank of a Matrix and Systems of Linear Equations | |
| Coordinates and Change of Basis | |
| Applications of Vector Spaces | |
| Inner Product Spaces | |
| Length and Dot Product in R" | |
| Inner Product Spaces | |
| Orthonormal Bases: Gram-Schmidt Process | |
| Mathematical Models and Least Squares Analysis | |
| Applications of Inner Product Spaces | |
| Linear Transformations | |
| Introduction to Linear Transformations | |
| The Kernel and Range of a Matrices for Linear Transformations | |
| Transition Matrices and Similarity | |
| Applications of Linear Transformations | |
| Eigenvalues and Eigenvectors | |
| Eigenvalues and Eigenvectors | |
| Diagonalization | |
| Symmetric Matrices and Orthogonal Diagonalization | |
| Applications of Eigenvalues and Eigenvectors | |
| Complex Vector Spaces (Online) | |
| Complex Numbers | |
| Conjugates and Division of Complex Numbers | |
| Polar Form and DeMoivre's Theorem | |
| Complex Vector Spaces and Inner Products | |
| Unitary and Hermitian Matricies | |
| Table of Contents provided by Publisher. All Rights Reserved. |