1
MA 2503 Linear Algebra
Semester A 2015/16, Guo Luo
Lecture 3
Matrix Algebra
2
3.1 Introduction
So far the matrix language has been primarily used to formulate
some of the elementary concepts surrounding linear systems.
It turns out that much more can

1
MA 2503 Linear Algebra
Semester A 2015/16, Guo Luo
Lecture 2
Rectangular Systems and Echelon Forms
2
2.1 Row Echelon Form and Rank
Equipped with the knowledge of Gaussian elimination, we are
now ready to analyze general linear systems of m equations in

1
MA 2503 Linear Algebra
Semester A 2015/16, Guo Luo
Lecture 1
Linear Equations
2
1.1 Introduction
A fundamental problem surfacing in all mathematical sciences
is that of solving m algebraic equations in n unknowns.
An example from Nine Chapters on Arit