Linear algebra is a vital course for students. Few subjects can claim to
have such widespread applications in other areas of mathematics-multi
variable calculus, differential equations, probability, and in physics,
biology, chemistry, economics, finance, psychology, sociology. and all
fields of engineering. It also presents the students with an excellent
opportunity to learn how to deal with abstract concepts. This module
introduces the basic ideas and computational techniques of linear
algebra. It also includes a wide variety of carefully selected
applications. It also introduces the students to working with abstract
concepts. Finally, in covering the basic ideas of linear algebra, the
abstract ideas are carefully balanced by a considerable emphasis on the
geometrical and computational aspects of the subject. Throughout this
module, a great variety of examples and exercises of the important
concepts are included. The study of such examples is of fundamental
importance. It tends to minimize the number of students who can repeat
definition, theorem, and proof logically without grasping the meaning of
the abstract concepts. Assessments are also included in every section of
this module to measure the students' learning as to how far they have
learned the concepts. Finally, answers on exercises are provided for the
students to answer the assessments. As with the rest of the book, the
exercises and assessments aim to buildability and help students
experience the pleasure of doing mathematics. Students should see how
the ideas arise and should be able to picture themselves doing the same
type of work.
