Math 244 - Linear Algebra

تفاصيل المقرر
Chapter 1 1.1 - Introduction to Systems of Linear Equations 1.2 - Gaussian Elimination 1.3 - Matrices and Matrix Operations 1.4 - Inverses and Algebraic Properties of Matrices 1.5 - Elementary Matrices and a Method for Finding Inverse of a Matrix 1.6 - More on Linear Systems and Invertible Matrices 1.7 - Diagonal, Triangular and Symmetric Matrices Chapter 2 2.1 - Determinants by Cofactor Expansion 2.2 - Evaluating Determinants by Row Reduction 2.3 - Properties of the Determinants and Cramer's Rule Chapter 3 3.1 - Vectors in 2-Space, 3-Space and n-Space 3.2 - Norm, Dot Product and Distance in R 3.3 - Orthogonality Chapter 4 4.1 - Real Vector Spaces 4.2 - Subspaces 4.3 - Linear Independence 4.4 - Coordinates and Basis 4.5 - Dimension 4.7 - Row Space, Column Space and Null space 4.8 - Rank, Nullity and the Fundamental Matrix Spaces 4.9 - Matrix Transformations 4.10 - Properties of Matrix Transformations Chapter 5 5.1 - Eigenvalues and Eigenvectors

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