3,000 Solved Problems in Linear Algebra
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.