3,000 Solved Problems in Linear Algebra

Description:

Solved Problem Series

These books help readers review and master what they've learned by showing them how to solve thousands of relevant problems. Perfect for preparing for graduate or professional exams, these detailed reminders of problem-solving techniques show readers the best strategies for answering even the toughest questions, including the types that appear on typical tests.

 

Table of Contents:

Vectors in R and C. Matrix Algebra. Systems of Linear Equations. Square Matrices. Determinants. Algebraic Structures. Vector Spaces and Subspaces. Linear Dependence, Basis, Dimension. Mappings. Linear Mappings. Spaces of Linear Mappings. Matrices and Linear Mappings. Change of Basis, Similarity. Inner Product Spaces, Orthogonality. Polynomials Over A Field. Eigenvalues and Eigenvectors. Diagonalization. Canonical Forms. Linear Functional and the Dual Space. Bilinear, Quadratic, and Hermitian Forms. Linear Operators on Inner Product Spaces. Applications to Geometry and Calculus.

描述：
這些書籍幫助讀者通過展示如何解決成千上萬個相關問題來複習和掌握他們所學的知識。非常適合準備研究生或專業考試，這些詳細的問題解決技巧提供了回答甚至最困難問題的最佳策略，包括在典型測試中出現的類型。

目錄：
R和C中的向量。矩陣代數。線性方程組。方陣。行列式。代數結構。向量空間和子空間。線性相依性，基底，維度。映射。線性映射。線性映射空間。矩陣和線性映射。基底變換，相似性。內積空間，正交性。在一個域上的多項式。特徵值和特徵向量。對角化。標準形式。內積空間上的線性函數和對偶空間。雙線性，二次和共軛形式。內積空間上的線性運算子。應用於幾何和微積分。