CH1-8 LDU factorization
CH2-1 Basic Properties of the determinants
CH2-2 Existence and uniqueness of the determinant
CH2-3 Cofactor expansion
CH2-4 Cramer's rule
CH3-1 The n-space Rn and vector space
CH3-2 Subspaces
CH3-3 Bases
CH3-4 Dimensions
CH3-5 Row and column spaces
CH3-6 Rank and nullity
CH3-7 Bases for subspaces
CH3-8 Invertibility
CH4-1 Basic Properties of a linear transformation
CH4-2 Invertible linear transformations 1
CH4-2 Invertible linear transformations 2
CH4-3 Matrices of a linear transformations
CH4-4 Vector spaces of a linear transformations
CH4-5 Change of bases
CH4-6 Similarity
CH5-1 Dot products and inner products
CH5-2 The lengths and angles of vectors
CH5-3 Matrix representations of inner products
CH5-4 Orthogonal projections
CH5-5 The Gram-Schmidt orthogonalization
CH5-6 Relations of fundamental subspaces
CH5-7 Orthogonal matrices and isometries
CH6-1 Eigenvalues and eigenvectors
CH6-2 Diagonalization of matrices
CH6-4 Exponential Matrices
CH6-6 Diagonalization of linear transformations
CH7-1 The n-space C^n and complex vector spaces
CH7-2 Hermitian and unitary matrices
CH7-3 Unitarily diagonalizable matrices
CH7-4 Normal matrices
CH8-1 Jordan Canonical Forms
CH8-2 Generalized eigenvectors
CH8-3 The power Ak and the exponential eA
CH8-4 Cayley-Hamilton theorem
CH8-5 The minimal polynomial of a matrix