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moore h first course linear algebra 1992

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Textbook in PDF format Key definitions, theorems and formulas (part 1 of 2) TItle To the Student Systems of Linear Equations and Matrices Systems of Linear Equations: Matrix Methods Linear Systems without Unique Solutions Matrix Arithmetic Matrix Algebra Matrix Inversion Partitioned Matrices: Numerical Considerations Extended Application: Networks and Graphs Summary Determinants The Determinant Function and Cramer's Rule Laplace Expansion of Determinants Properties of Determinants Determinants and Matrix Inversion Summary Vector Spaces Examples and Definition of a Vector Space Linear Dependence and Independence Spanning Set: Subspace Ordered Basis and Dimension Matrices: Row and Column Spaces Summary Inner Product Spaces Distance and Angle in R^2 and R^3 Cross Products in R^3 (optional) Real Inner Products Geometry in Real Inner-Product Spaces The Gram-Schmidt Process Complex Vectors, Matrices, Inner Products Extended Application: Least Squares Fit Summary Linear Transformations Definitions and Examples The Range and Kernel of a Linear Transformation Matrix Representations The Algebra of Linear Transformations Change of Basis and Similarity Orthogonal Linear Transformations Summary Eigenvalues, Eigenvectors, and Some Applications Eigenvalues and Eigenvectors Similarity to a Diagonal Matrix Real Symmetric Matrices Quadratic Forms, Conics, and Quadric Surfaces Extended Application: Markov Chains Complex Eigenvalues Extended Application: Systems of Differential Equations Summary Appendices The Complex Numbers Sets and Functions Algorithms References The Greek Alphabet and Frequently Used Symbols Answers and Solutions to Selected ExercisesIndex Key definitions, theorems and formulas (part 2 of 2)

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Moore H. A First Course in Linear Algebra 1992.pdf 39.7 MB

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moore h first course linear algebra 1992

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