LINEAR ALGEBRA
 L3 ENS Paris

Caroline MULLER

wave


# 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  
parallelepiped