Schaum's Outline of Linear AlgebraThis third edition of the successful outline in linear algebra--which sold more than 400,000 copies in its past two editions--has been thoroughly updated to increase its applicability to the fields in which linear algebra is now essential: computer science, engineering, mathematics, physics, and quantitative analysis. Revised coverage includes new problems relevant to computer science and a revised chapter on linear equations. |
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Common terms and phrases
Accordingly algorithm augmented matrix back-substitution basis vectors bilinear form block matrix change-of-basis matrix characteristic polynomial characteristic polynomial A(t coefficients column vector corresponding defined denote determinant diagonal entries diagonal matrix diagonalizable echelon form echelon matrix eigenvalues eigenvectors elementary row operations Example field find Find the matrix finite dimension first following matrices form a basis free variables hence homogeneous system infinite inner product space invertible Let F linear combination linear equations linear mapping linear operator linearly independent mapping F matrix representation minimal polynomial n-square nonsingular obtain operation Replace orthogonal matrix orthonormal basis pivot positive definite Prove Theorem proved in Problem quadratic form R2 defined real numbers relative row canonical form row equivalent row reduce row space scalar multiplication Show Solve span(S Specifically square matrix subspace symmetric matrix system of linear transpose unique solution unitary unknowns usual basis vector space yields
References to this book
Statistical Methods in the Atmospheric Sciences: An Introduction Daniel S. Wilks No preview available - 1995 |
Bibliographic information
| Title | Schaum's Outline of Linear Algebra Schaum's outline series |
| Authors | Seymour Lipschutz, Marc Lipson |
| Edition | 3 |
| Publisher | McGraw Hill Professional, 2000 |
| ISBN | 0071386645, 9780071386647 |
| Length | 424 pages |
| Subjects | › › Mathematics / Algebra / General |
| Export Citation | BiBTeX EndNote RefMan |