Linear Algebra: From the Beginnings to the Jordan Normal Forms Miyake Toshitsune
Linear Algebra: From the Beginnings to the Jordan Normal Forms Miyake Toshitsune The purpose of this book is to explain linear algebra clearly for beginners. Starting from the definition of matrices,…
Specifikacia Linear Algebra: From the Beginnings to the Jordan Normal Forms Miyake Toshitsune
Linear Algebra: From the Beginnings to the Jordan Normal Forms Miyake Toshitsune
The purpose of this book is to explain linear algebra clearly for beginners. Starting from the definition of matrices, it is made clear with examples that matrices and matrix operation are abstractions of tables and operations of tables. In doing so, the author states and explains somewhat advanced topics such as Hermitian products and Jordan normal forms.
The solutions to systems of linear equations are found by solving matrix equations in the row-reduction of matrices, equivalent to the Gauss elimination method of solving systems of linear equations. The author also maintains that systems of linear equations are the starting point of linear algebra, and linear algebra and linear equations are closely connected. The row-reductions play important roles in calculation in this book.
To calculate row-reductions of matrices, the matrices are arranged vertically, which is seldom seen but is