حل المسائل کتاب نخستین درس در جبر خطی
- عنوان کتاب به فارسی: حل المسائل کتاب نخستین درس در جبر خطی
- عنوان کتاب به انگلیسی: Exercise and Solution Manual for A First Course in Linear Algebra
- نویسنده: Robert ABeezer
- زبان: انگلیسی
- تعداد صفحه: 155
- Solving Systems of Linear Equations
- Reduced Row-Echelon Form
- Types of Solution Sets
- Homogeneous Systems of Equations
- Nonsingular Matrices
- Vectors
- Vector Operations
- Linear Combinations
- Spanning Sets
- Linear Independence
- Linear Dependence and Spans
- Orthogonality
- Matrices
- Matrix Operations
- Matrix Multiplication
- Matrix Inverses and Systems of Linear Equations
- Matrix Inverses and Nonsingular Matrices
- Column and Row Spaces
- Four Subsets
- Vector Spaces
- Vector Spaces
- Subspaces
- Linear Independence and Spanning Sets
- Bases
- Dimension
- Properties of Dimension
- Determinants
- Determinant of a Matrix
- Properties of Determinants of Matrices
- Eigenvalues
- Eigenvalues and Eigenvectors
- Properties of Eigenvalues and Eigenvectors
- Similarity and Diagonalization
- Linear Transformations
- Linear Transformations
- Injective Linear Transformations
- Surjective Linear Transformations
- Invertible Linear Transformations
- Representations
- Vector Representations
- Matrix Representations
- Change of Basis
- Orthonormal Diagonalization
- Archetypes
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