Topic 1
Matrices and linear systems
Row reduction, inverses and determinants.
University · Undergraduate
Linear Algebra
Vector spaces, matrices, determinants, eigenvalues and diagonalisation.
What you will be able to do
- Solve linear systems by Gaussian elimination
- Work with vector spaces, bases and dimension
- Compute determinants, eigenvalues and eigenvectors
- Diagonalise matrices and apply them to real problems
Course contents
Every topic, lesson by lesson.
Topic 2
Eigenvalues and eigenvectors
Characteristic polynomials, eigenspaces and diagonalisation.
Topic 3
Eigenvalues and diagonalisation
Characteristic polynomials, eigenvectors and diagonalising matrices.
Topic 4
Inner product spaces
Dot products, orthogonality, projections and Gram–Schmidt.
Curriculum alignment
This course satisfies the following education systems.
American Curriculum
British Curriculum
Canadian Curriculum
Australian Curriculum