Linear Algebra
Odyssey Program- Tel Aviv university
Instructor: Tom Benhamou
Course notes:
Chapter 1:
Abstract Algebra.
Chapter 2:
Polynomials and Complex numbers
Chapter 3:
Solutions to Equations
Chapter 4:
Linear system and its Canonical forms.
Chapter 5:
The Matrix of a linear system.
Chapter 6:
The space of n-tuples.
Chapter 7:
Matrix Algebra.
Chapter 8:
Determinants and Cramer's rule.
Chapter 9:
Abstract vector spaces.
Chapter 10:
Subspaces.
Chapter 11:
Matrix Spaces and Algorithms.
Chapter 12:
Matrix trasformations.
Chapter 13:
Linear transformations.
Chapter 14:
Matrix representation.
Chapter 15:
The Algebra of linear transformations and Matrix similarity.
Chapter 16:
The dual space.
Chapter 17:
Eigen Values and Matrix diagonalization.
Chapter 17:
Inner product spaces.