LINEAR ALGEBRA
L3 ENS Paris
Caroline MULLER
- Linear Algebra - Syllabus
# I. Fundamentals:
- linear spaces, dimension, basis
- linear mappings
- rank–nullity theorem
- implications of the theorem (linear systems of equations)
# II. Matrices:
- matrices and linear mappings
- change of basis
- square matrices, rank, inverse
- determinant, eigenvalues and eigenvectors
# III. Applications:
- waves, dispersion relations
- linear stability analysis, chaos
Linear Algebra and Its Applications, by Peter Lax
Linear Algebra Done Right, by Sheldon Axler
Equations Differentielles Ordinaires, by V. Arnold
Nice movie of
surface waves in the lab
How to cut a Parallelepiped into 6 Tetrahedrons :
link