Linear Algebra 4th Edition Friedberg Solutions Manual

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Product details:

• ISBN-10 ‏ : ‎ 0130084514
• ISBN-13 ‏ : ‎ 978-0130084514
• Author: Stephen H. Friedberg , Arnold J. Insel, Lawrence E. Spence

This top-selling, theorem-proof text presents a careful treatment of the principal topics of linear algebra, and illustrates the power of the subject through a variety of applications. It emphasizes the symbiotic relationship between linear transformations and matrices, but states theorems in the more general infinite-dimensional case where appropriate.

Table of contents:

• 1. Vector Spaces.
• Introduction
• Vector Spaces
• Subspaces
• Linear Combinations and Systems of Linear Equations
• Linear Dependence and Linear Independence
• Bases and Dimension
• Maximal Linearly Independent Subsets
• 2. Linear Transformations and Matrices
• Linear Transformations, Null Spaces, and Ranges
• The Matrix Representation of a Linear Transformation
• Composition of Linear Transformations and Matrix Multiplication
• Invertibility and Isomorphisms
• The Change of Coordinate Matrix
• Dual Spaces
• Homogeneous Linear Differential Equations with Constant Coefficients
• 3. Elementary Matrix Operations and Systems of Linear Equations
• Elementary Matrix Operations and Elementary Matrices
• The Rank of a Matrix and Matrix Inverses
• Systems of Linear EquationsTheoretical Aspects
• Systems of Linear EquationsComputational Aspects
• 4. Determinants
• Determinants of Order 2
• Determinants of Order n
• Properties of Determinants
• SummaryImportant Facts about Determinants
• A Characterization of the Determinant
• 5. Diagonalization
• Eigenvalues and Eigenvectors
• Diagonalizability
• Matrix Limits and Markov Chains
• Invariant Subspaces and the Cayley-Hamilton Theorem
• 6. Inner Product Spaces
• Inner Products and Norms
• The Gram-Schmidt Orthogonalization Process and Orthogonal Complements
• The Adjoint of a Linear Operator
• Normal and Self-Adjoint Operators
• Unitary and Orthogonal Operators and Their Matrices
• Orthogonal Projections and the Spectral Theorem
• The Singular Value Decomposition and the Pseudoinverse
• Bilinear and Quadratic Forms
• Einstein’s Special Theory of Relativity
• Conditioning and the Rayleigh Quotient
• The Geometry of Orthogonal Operators
• 7. Canonical Forms
• The Jordan Canonical Form I
• The Jordan Canonical Form II
• The Minimal Polynomial
• Rational Canonical Form
• Appendices
• Sets
• Functions
• Fields
• Complex Numbers
• Polynomials
• Answers to Selected Exercises
• Index

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