This unique and innovative book presents an exciting and complete detail of all the important
topics related to the theory of square matrices of order 2. The readers exploring every
detailed aspect of matrix theory are gently led toward understanding advanced topics. They will
follow every notion of matrix theory with ease accumulating a thorough understanding of
algebraic and geometric aspects of matrices of order 2. The prime jewel of this book is its
offering of an unusual collection of problems theoretically motivated most of which are new
original and seeing the light of publication for the first time in the literature. Nearly all
of the exercises are presented with detailed solutions and vary in difficulty from easy to more
advanced. Many problems are particularly challenging. These and not only these invite the
reader to unleash their creativity and research capabilities and to discover their own methods
of attacking a problem. Matrices have a vast practical importance to mathematics science and
engineering therefore the readership of this book is intended to be broad: high school
students wishing to learn the fundamentals of matrix theory first year students who like to
participate in mathematical competitions graduate students who want to learn more about an
application of a certain technique doctoral students who are preparing for their prelim exams
in linear algebra and linear algebra instructors. Chapters 1¿3 complement a standard linear
algebra course. Pure and applied mathematicians who use matrix theory for their applications
will find this book useful as a refresher. In fact anyone who is willing to explore the
methodologies discussed in this book and work through a collection of problems involving
matrices of order 2 will be enriched.
