MATH 42 Linear Algebra

Linear Algebra: Vector spaces, basis and dimension, matrices, linear transformations, determinants, solution of systems of linear equations, eigenvalues and eigenvectors. The syllabus of the class is available here Syllabus.

Lectures:

Lecture 1: Introduction.

Lecture 2: Operations with matrices.

Lecture 3: Inverse of a matrix.

Lecture 4: Determinant of a matrix.

Lecture 5: Introduction to vector spaces.

Lecture 6: Ranks of matrices.

Lecture 7: Linear maps.

Lecture 8: Eigenvalues and eigenvectors.

Lecture 9: Diagonalization and spectral theorem.

Homework:

Homework 1.

Homework 2.

Homework 3.

Homework 4.