Linear algebra with Derive
Benny Evans, Jerry A. Johnson
Abstract
Benny Evans, Jerry A. Johnson
Abstract
Systems of Equations Augmented Matrices and Elementary Row Operations The Algebra of Matrices Invernesses of Matrices Determinants, Adjoints and Cramer's Rule Matrix Algebra and Modular Arithmetic Vector Products, Lines and Planes Vector Spaces and Subspaces Independence, Basis and Dimension Row Space, Column Space and Null Space Inner Product Spaces Orthonormal Bases and the Gram-Schmidt Process Change of Basis and Orthogonal Matrices Eigenvalues and Eigenvectors Diagonalization and Orthogonal Diagonalization Matrices and Linear Transformations from RN to RM Matrices of General Linear Transformation Similarity Applications and Numerical Methods.
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Systems of Equations Augmented Matrices and Elementary Row Operations The Algebra of Matrices Invernesses of Matrices Determinants, Adjoints and Cramer's Rule Matrix Algebra and Modular Arithmetic Vector Products, Lines and Planes Vector Spaces and Subspaces Independence, Basis and Dimension Row Space, Column Space and Null Space Inner Product Spaces Orthonormal Bases and the Gram-Schmidt Process Change of Basis and Orthogonal Matrices Eigenvalues and Eigenvectors Diagonalization and Orthogonal Diagonalization Matrices and Linear Transformations from RN to RM Matrices of General Linear Transformation Similarity Applications and Numerical Methods.
Key concepts: Orthonormal basis, Mathematics, Linear subspace, Eigenvalues and eigenvectors, Orthonormality, Linear algebra, Algebra over a field, Inner product space