Linear Algebra

Abstract

Chapter 1: What is Linear Algebra? Chapter 2: Systems of Linear Equations. Chapter 3: The Simplex Method. Chapter 4: Vectors in Space, n-Vectors. Chapter 5: Vector Spaces. Chapter 6: Linear Transformations. Chapter 7: Matrices. Chapter 8: Determinants. Chapter 9: Subspaces and Spanning Sets. Chapter 10: Linear Independence. Chapter 11: Basis and Dimension. Chapter 12: Eigenvalues and Eigenvectors. Chapter 13: Diagonalization. Chapter 14: Orthonormal Bases and Complements. Chapter 15: Diagonalizing Symmetric Matrices. Chapter 16: Kernel, Range, Nullity, Rank. Chapter 17: Least squares and Singular Values.