Math Notes
Applications
Initializing search
Jx-ls/mnc-notes
Home
Linear Algebra
Modern Algebra
Math Notes
Jx-ls/mnc-notes
Home
Linear Algebra
Linear Algebra
Preface
Foundations
Foundations
Group, Field
Preliminary matrix operations
System of linear equations
Vector Space
Subspace
Linear span
Basis and Dimension of a vector space
Operations on subspaces of a vector space
Linear Transformations
Linear Transformations
Linear Transformation
Rank - Nullity Theorem
Change of Basis Matrix
Applications
Inner Product Spaces
Inner Product Spaces
Inner Product spaces
Cauchy - Schwarz inequality
Orthonormal Basis
Gram - Schmidt orthogonalization process
Orthogonal Complement of a subspace
Spectral Theory and Canonical Forms
Spectral Theory and Canonical Forms
Eigen Values and Vectors of linear operations and square matrices
Cayley - Hamilton Theorem
Minimal Polynomial
Jordan Canonical Fo
Special Matrices
Quadratic Forms
Eigen Values of special matrices
Modern Algebra
Modern Algebra
Preface
Group Theory
Group Theory
Preliminaries
Group
Home
Linear Algebra
Linear Transformations
Applications