Week Program, Semester Week 7

Systems of Linear Equations

This week our topic is systems of linear equations. We will cover how one can find all solutions to such systems. An important term that will be used in this connection is a matrix as well as its (reduced) row-echelon form.

Key Terms

Systems of linear equations. Matrices. Gauss elimination. (Reduced) row-echelon form of a matrix. Rank. Particular solution and general solution to a linear equation system.

Preparation and Syllabus

This week covers sections 6.1 through 6.4 from [06 - Systems of linear equations]. Note that section 6.5 is not a part of the syllabus.

Exercises

Exercises for Long Day.

Exercises for Short Day.