Matrix Inversion and the Solution of Linear Equations (Classic Reprint) - Hardcover

J. H. Curtiss

Hardcover

ISBN 10: 0484156276 ISBN 13: 9780484156271

Publisher: Forgotten Books, 2018

Synopsis

Matrix ideas that power linear equations and computations : This book, Matrix Inversion and the Solution of Linear Equations, introduces the core ideas of matrix algebra and shows how they connect to solving linear systems.

In clear, structured terms, it covers how matrices behave under addition, multiplication, and transposition; how real and complex elements are treated; and how special matrices like identity, diagonal, and triangular forms work. It also surveys vectors as one-column matrices and introduces the crucial concepts of linear independence and rank, leading to practical tools for solving equations and understanding their solutions.

• Grasp the basic operations on matrices and their properties, including how multiplication differs from the familiar rules for real numbers.
• Learn about important matrix types (transpose, inverse, adjoint, determinant) and how they help solve systems.
• Explore vectors, linear independence, and the concept of rank to understand when systems have unique solutions.
• See how these ideas come together to solve linear equations, including methods like Cramer's rule and related results.

Ideal for readers of applied mathematics and introductory linear algebra, this edition offers a practical path from definitions to solving real problems.

Edition details

• Publisher: Forgotten Books
• Publication date: 2018
• Language: English
• ISBN 10: 0484156276
• ISBN 13: 9780484156271
• Binding: Hardcover
• Number of pages: 176