At the end of this course the students will be able to setup and seek the solutions of several equations in several. Unlike other courses of its level, linear algebra embodies a circle of theoretical ideas which necessitate careful definitions, and statements and proofs of theorems, as well as a body of computational techniques that can serve both the theory itself and its application. Further they will be able to compute eigenvectors. The last part of the course will enable the students to work with and linear operators and their adjoints.