Linear Algebra II
M06 — Spring 26
Contents
8 Symmetry and groups
8.1 Symmetry
8.2 Groups
8.3 Group actions
9 Bilinear forms
9.1 Definitions and basic properties
9.2 Symmetric bilinear forms
10 Euclidean spaces
10.1 Inner products
10.2 The orthogonal projection
10.3 Gram–Schmidt orthonormalisation
10.4 The orthogonal group
10.5 The adjoint mapping
10.6 The spectral theorem
10.7 Quadratic forms
11 Unitary spaces
11.1 Hermitian inner products
11.2 The unitary group
11.3 Adjoint and normal endomorphisms
12 The Jordan normal form
12.1 Generalised eigenvectors and eigenspaces
12.2 Jordan blocks
12.3 Nilpotent endomorphisms
12.4 Calculations
12.5 Applications
13 Duality
13.1 The dual vector space
13.2 The transpose map
13.3 Properties of the transpose
Linear Algebra II
Home
Contents
Lecture Recordings
Quizzes
Study Weeks
✕