It takes the average reader 4 hours and 57 minutes to read A Combinatorial Approach to Matrix Theory and Its Applications by Richard A. Brualdi
Assuming a reading speed of 250 words per minute. Learn more
Unlike most elementary books on matrices, A Combinatorial Approach to Matrix Theory and Its Applications employs combinatorial and graph-theoretical tools to develop basic theorems of matrix theory, shedding new light on the subject by exploring the connections of these tools to matrices. After reviewing the basics of graph theory, elementary counting formulas, fields, and vector spaces, the book explains the algebra of matrices and uses the König digraph to carry out simple matrix operations. It then discusses matrix powers, provides a graph-theoretical definition of the determinant using the Coates digraph of a matrix, and presents a graph-theoretical interpretation of matrix inverses. The authors develop the elementary theory of solutions of systems of linear equations and show how to use the Coates digraph to solve a linear system. They also explore the eigenvalues, eigenvectors, and characteristic polynomial of a matrix; examine the important properties of nonnegative matrices that are part of the Perron–Frobenius theory; and study eigenvalue inclusion regions and sign-nonsingular matrices. The final chapter presents applications to electrical engineering, physics, and chemistry. Using combinatorial and graph-theoretical tools, this book enables a solid understanding of the fundamentals of matrix theory and its application to scientific areas.
A Combinatorial Approach to Matrix Theory and Its Applications by Richard A. Brualdi is 288 pages long, and a total of 74,304 words.
This makes it 97% the length of the average book. It also has 91% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 6 hours and 46 minutes to read A Combinatorial Approach to Matrix Theory and Its Applications aloud.
A Combinatorial Approach to Matrix Theory and Its Applications is suitable for students ages 12 and up.
Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.
When deciding what to show young students always use your best judgement and consult a professional.
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