Applications of linear algebra, systems of linear equations, gaussian elimination with back substitution, Gauss-Jordan elimination, Cramerâ€™s Rule.

Matrices

Textbook 8 pages

Introduction to linear algebra, applications

Lecture notes

Systems of linear equations, Gaussian elimination with back-substitution, Gauss-Jordan elimination, Cramerâ€™s Rule.

Most high school students in the United States learn about matrices and matrix multiplication, but they often are not taught why matrix multiplication works the way it does.

Online textbook with interactive graphics

Textbook

Matrix addition, multiplication, inverse (Rosen Section 2.6)

Problems

Solutions