Basic Matrix Theory (dover Books On Mathematics)
by Leonard E. Fuller /
2017 / English / EPUB
21 MB Download
Written as a guide to using matrices as a mathematical tool, this
text is geared toward physical and social scientists, engineers,
economists, and others who require a model for procedure rather
than an exposition of theory. Knowledge of elementary algebra is
the only mathematical prerequisite. Detailed numerical examples
illustrate the treatment's focus on computational methods.
Written as a guide to using matrices as a mathematical tool, this
text is geared toward physical and social scientists, engineers,
economists, and others who require a model for procedure rather
than an exposition of theory. Knowledge of elementary algebra is
the only mathematical prerequisite. Detailed numerical examples
illustrate the treatment's focus on computational methods.
The first four chapters outline the basic concepts of matrix
theory. Topics include the development of the concept of elementary
operations and a systematic procedure for simplifying matrices as
well as a method for evaluating the determinant of a given square
matrix. Subsequent chapters explore important numerical procedures,
including the process for approximating characteristic roots and
vectors plus direct and iterative methods for inverting matrices
and solving systems of equations. Solutions to the problems are
included.
The first four chapters outline the basic concepts of matrix
theory. Topics include the development of the concept of elementary
operations and a systematic procedure for simplifying matrices as
well as a method for evaluating the determinant of a given square
matrix. Subsequent chapters explore important numerical procedures,
including the process for approximating characteristic roots and
vectors plus direct and iterative methods for inverting matrices
and solving systems of equations. Solutions to the problems are
included.