Detailansicht
Matrix Algebra: Exercises and Solutions
ISBN/EAN: 9780387953182
Umbreit-Nr.: 1094177
Sprache:
Englisch
Umfang: xv, 271 S., 1 s/w Illustr., 271 p. 1 illus.
Format in cm: 1.5 x 23.5 x 15.5
Einband:
kartoniertes Buch
Erschienen am 06.09.2001
Auflage: 1/2001
- Kurztext
- This collection of exercises and their solutions will be a useful reference for students and researchers in matrix algebra. It should be of interest to mathematicians and statisticians.
- Autorenportrait
- Inhaltsangabe1 Matrices.- 2 Submatrices and Partitioned Matrices.- 3 Linear Dependence and Independence.- 4 Linear Spaces: Rowand Column Spaces.- 5 Trace of a (Square) Matrix.- 6 Geometrical Considerations.- 7 Linear Systems: Consistency and Compatibility.- 8 Inverse Matrices.- 9 Generalized Inverses.- 10 Idempotent Matrices.- 11 Linear Systems: Solutions.- 12 Projections and Projection Matrices.- 13 Determinants.- 14 Linear, Bilinear, and Quadratic Forms.- 15 Matrix Differentiation.- 16 Kronecker Products and the Vec and Vech Operators.- 17 Intersections and Sums of Subspaces.- 18 Sums (and Differences) of Matrices.- 19 Minimization of a Second-Degree Polynomial (in n Variables) Subject to Linear Constraints.- 20 The Moore-Penrose Inverse.- 21 Eigenvalues and Eigenvectors.- 22 Linear Transformations.- References.