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ISBN 10: 013239734X
ISBN 13: 9780132397346
Author: Lawrence Spence, Arnold J Insel, Stephen H Friedberg
Matrices, Vectors, and Systems of Linear Equations
Introduction to matrices and vectors
Solving systems of linear equations
Gaussian elimination and row reduction
Vector Spaces
Definition and examples of vector spaces
Subspaces and their properties
Linear combinations and span
Linear Transformations and Matrices
Concept of linear transformations
Matrix representation of linear transformations
Kernel and image of a linear transformation
Determinants
Definition and properties of determinants
Cofactor expansion and applications
Cramer's rule and volume interpretation
Eigenvalues and Eigenvectors
Characteristic equation
Diagonalization of matrices
Applications to systems of differential equations
Inner Product Spaces
Dot product and inner product spaces
Orthogonality and orthogonal projections
Gram-Schmidt process
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Tags: Lawrence Spence, Arnold J Insel, Stephen H Friedberg, Elementary, Algebra
