Vasile Pop is an associate professor of mathematics at the Technical University of Cluj-Napoca, Romania. He teaches linear algebra and functional equation classes and coaches students for SEEMOUS as well as high school students for the International Mathematical Olympiad.Ovidiu Furdui is an associate professor of mathematics at the Technical University of Cluj-Napoca, Romania. He has published more than 300 problems in journals, with a problem column, from all over the world and he is the author of the Springer text Limits, Series and Fractional Part Integrals.

“The book is written in a clear and precise style. The book contains a vast collection of problems varying from easy to difficult levels and their detailed solutions, which help the reader to learn some basic and advanced linear algebra. … The book will be interesting for people who like matrix theory and its challenging problems; in particular, for students who are preparing themselves for mathematical competitions.” (Mohammad Sal Moslehian, Mathematical Reviews, September, 2017)“This is a book that contains almost everything you would like to know about 2 x 2 matrices. … the book is addressed mainly to advanced high school students, undergraduate and graduate students and professionals according to their needs for results about 2 x 2 matrices.” (Andreas Arvanitoyeorgos, zbMATH 1367.15001, 2017)

• Notations.- 1. Matrices of order 2.- 2. The Cayley–Hamilton Theorem.- 3. Applications of Cayley–Hamilton Theorem.- 4. Functions of matrices. Matrix calculus.- 5. Applications of matrices to plane geometry.- 6. Conics. - A. Gems of classical analysis and linear algebra.- B. Trigonometric matrix equations.- References.- Index.

Vasile Pop is an associate professor of mathematics at the Technical University of Cluj-Napoca, Romania. He teaches linear algebra and functional equation classes and coaches students for SEEMOUS as well as high school students for the International Mathematical Olympiad.Ovidiu Furdui is an associate professor of mathematics at the Technical University of Cluj-Napoca, Romania. He has published more than 300 problems in journals, with a problem column, from all over the world and he is the author of the Springer text Limits, Series and Fractional Part Integrals.

“The book is written in a clear and precise style. The book contains a vast collection of problems varying from easy to difficult levels and their detailed solutions, which help the reader to learn some basic and advanced linear algebra. … The book will be interesting for people who like matrix theory and its challenging problems; in particular, for students who are preparing themselves for mathematical competitions.” (Mohammad Sal Moslehian, Mathematical Reviews, September, 2017)“This is a book that contains almost everything you would like to know about 2 x 2 matrices. … the book is addressed mainly to advanced high school students, undergraduate and graduate students and professionals according to their needs for results about 2 x 2 matrices.” (Andreas Arvanitoyeorgos, zbMATH 1367.15001, 2017)

• Notations.- 1. Matrices of order 2.- 2. The Cayley–Hamilton Theorem.- 3. Applications of Cayley–Hamilton Theorem.- 4. Functions of matrices. Matrix calculus.- 5. Applications of matrices to plane geometry.- 6. Conics. - A. Gems of classical analysis and linear algebra.- B. Trigonometric matrix equations.- References.- Index.

Vasile Pop is an associate professor of mathematics at the Technical University of Cluj-Napoca, Romania. He teaches linear algebra and functional equation classes and coaches students for SEEMOUS as well as high school students for the International Mathematical Olympiad.Ovidiu Furdui is an associate professor of mathematics at the Technical University of Cluj-Napoca, Romania. He has published more than 300 problems in journals, with a problem column, from all over the world and he is the author of the Springer text Limits, Series and Fractional Part Integrals.

“The book is written in a clear and precise style. The book contains a vast collection of problems varying from easy to difficult levels and their detailed solutions, which help the reader to learn some basic and advanced linear algebra. … The book will be interesting for people who like matrix theory and its challenging problems; in particular, for students who are preparing themselves for mathematical competitions.” (Mohammad Sal Moslehian, Mathematical Reviews, September, 2017)“This is a book that contains almost everything you would like to know about 2 x 2 matrices. … the book is addressed mainly to advanced high school students, undergraduate and graduate students and professionals according to their needs for results about 2 x 2 matrices.” (Andreas Arvanitoyeorgos, zbMATH 1367.15001, 2017)

• Notations.- 1. Matrices of order 2.- 2. The Cayley–Hamilton Theorem.- 3. Applications of Cayley–Hamilton Theorem.- 4. Functions of matrices. Matrix calculus.- 5. Applications of matrices to plane geometry.- 6. Conics. - A. Gems of classical analysis and linear algebra.- B. Trigonometric matrix equations.- References.- Index.