Introduction
Chapter01 Introduction to Vectors
Section01 Vectors and Linear Combinations
Section02 Lengths and Dot Products
Section03 Matrices
Chapter02 Solving Linear Equations
Section01 Vectors and Linear
Section02 The idea of Elimination
Section03 Elimination Using Matrices
Section04 Rules for Matrix Operations
Section05 Inverse Matrices
Section06 Elimination = Factorization: A = LU
Section07 Transposes and Permutations
Chapter03 Vector Spaces and Subspaces
Section01 Spaces of Vectors
Section02 The Nullspace of A: Solving Ax = 0 and Rx = 0
Section03 The Complete Solution to Ax = b
Section04 Independence, Basis and Dimension
Section05 Dimensions of the Four Subspaces
Chapter04 Orthogonality
Section01 Orthogonality of the Four Subspaces
Section02 Projections
Section03 Least Squares Approximations
Section04 Orthonormal Bases and Gram-Schmidt
Chapter05 Determinants
Section01 The Properties of Determinants
Section02 Permutations and Cofactors
Section03 Cramer's Rule, Inverses, and Volumes
Chapter06 Eigenvalues and Eigenvectors
Section01 Introduction to Eigenvalues
Section02 Diagonalizing a Matrix
Section03 Systems of Differential Equations
Section04 Symmetric Matrices
Section05 Positive Definite Matrices
Published with HonKit
Section05 Positive Definite Matrices
Section05 Positive Definite Matrices
Section05 Positive Definite Matrices
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