COURSE OUTLINESession 7
Bilinear Forms
Session 8
Quadratic Forms and Sylvester’s Theorem
Session 5
Jordan Canonical Form
Session 6
Diagonalisation Revisited
Session 9
Inner Products and Euclidean Spaces
Session 10
Gram–Schmidt Process
Session 1
Algebraic Prerequisites
Session 3
Special Matrices
Session 2
Minimal Polynomial of a Matrix
Session 4
Duality
Session 11
Hermitian Forms and Unitary Spaces
Session 12
Adjoint of a Linear Transformation
Session 13
Some Applications
Session 14
Module Review
Session 15
Final Exam