Linear Algebra with Applications, 9/e (Paperback)

Linear Algebra with Applications, Ninth Edition is designed for the introductory course in linear algebra for students within engineering, mathematics, business management, and physics. Updated to increase clarity and improve student learning, the author provides a flexible blend of theory and engaging applications.

The material in Linear Algebra with Applications, Ninth Edition is arranged into three parts that contain core and optional sections:
Part 1 introduces the basics, discussing systems of linear equations, vectors in Rn matrices, linear transformations, determinants, eigenvalues, and eigenspaces.

Part 2 builds on this material to discuss general vector spaces, and includes such topics as the Rank/Nullity Theorem, inner products and coordinate representation.

Part 3 completes the course with important ideas and methods in Numerical Linear Algebra including ill-conditioning, pivoting, LU decomposition and Singular Value Decomposition.

Throughout the text the author provides interesting applications, ranging from theoretical applications such as the use of linear algebra in differential equations, to many practical applications in the fields of electrical engineering, traffic analysis, relativity, history, and more.

《線性代數與應用》第九版是為工程、數學、商業管理和物理學等學生設計的線性代數入門課程教材。為了提高清晰度和學生學習效果，作者提供了理論和有趣應用的靈活結合。

《線性代數與應用》第九版的內容分為三個部分，包括核心和選修章節：
第一部分介紹基礎知識，討論線性方程組、Rn 空間中的向量、矩陣、線性變換、行列式、特徵值和特徵空間等。
第二部分在此基礎上討論一般向量空間，包括秩/零度定理、內積和座標表示等。
第三部分介紹數值線性代數中的重要概念和方法，包括病態、樞軸選擇、LU 分解和奇異值分解等。

在整個教材中，作者提供了有趣的應用，從理論應用如線性代數在微分方程中的應用，到許多實際應用，如電氣工程、交通分析、相對論、歷史等領域。