Week 4

Abstract linear operators and how to calculate with them. Properties and construction of operators.

Lecture 10
Bases and vector spaces; Matrices and linear transformations.

Read: 4.1, 4.2 for next lecture.

Lecture 11
Bases; Matrices.

Read: 4.3, 4.4 for next lecture.

Lecture 12
Eigenvalues and eigenvectors.

Read: 3.4 for next lecture.

The following was included in the PDF as well:

Prepare for the midterm:
 * Reread the assigned sections of Artin.
 * Review assigned homework problems and solutions.
 * Try the practice midterm included in this document (and check your answers against the solutions also included in this document).
 * Try other problems from the relevant sections of Artin.

Read: 4.5 for next lecture.

Lecture 13
Review for midterm; Orthogonal group.

Read: 5.1, 5.2 for next lecture.