MATH2046: Advanced Linear Algebra
Abstract linear structure, polynomial operators, canonical forms and bilinear geometry.
Start course
Finite-dimensional spaces, quotients and duality
Browse chapters
Chapter 1
Finite-dimensional spaces, quotients and duality
Finite-dimensional spaces, quotients and duality
- Read section
Finite-dimensional spaces, quotients and duality
Finite-dimensional spaces, quotients and duality
Chapter 2
Polynomial operators, Cayley–Hamilton and decomposition
Polynomial operators, Cayley–Hamilton and decomposition
- Read section
Polynomial operators, Cayley–Hamilton and decomposition
Polynomial operators, Cayley–Hamilton and decomposition
Chapter 3
Nilpotent chains and Jordan canonical form
Nilpotent chains and Jordan canonical form
- Read section
Nilpotent chains and Jordan canonical form
Nilpotent chains and Jordan canonical form
Chapter 4
Inner products, adjoints and spectral structure
Inner products, adjoints and spectral structure
- Read section
Inner products, adjoints and spectral structure
Inner products, adjoints and spectral structure
Chapter 5
Bilinear forms, congruence and canonical geometry
Bilinear forms, congruence and canonical geometry
- Read section
Bilinear forms, congruence and canonical geometry
Bilinear forms, congruence and canonical geometry