Course Details
Lesson 1: Orthonormal Bases
Lesson 2: Minimisation Problems
Lesson 3: Adjoints
Lesson 4: Self-Adjoint Operators
Lesson 5: The Spectral Theorem
Lesson 6: Postive Operators
Lesson 7: Isometrics
Lesson 8: Polar Decomposition
Lesson 9: Singular Value Decomposition
Lesson 10: Null Spaces of Powers of an Operator
Lesson 11: Generalised Eigenvectors
Lesson 12: Nilpotent Operators
Lesson 13: Decomposition via Generalised Eigenvectors
Lesson 14: Block Diagonal Matrices
Lesson 15: Square Roots of Operators
Lesson 16: The Characteristics Polynomials
Lesson 17: The Minimal Polynomials