Anthony J Pettofrezzo

Matrices and Transformations

• Broschiertes Buch

Produktbeschreibung

Elementary, concrete approach: fundamentals of matrix algebra, linear transformation of the plane, application of properties of eigenvalues and eigenvectors to study of conics. Includes proofs of most theorems. Answers to odd-numbered exercises.

---

Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.

Produktdetails

• Verlag: Dover Publications
• Revised edition
• Seitenzahl: 144
• Erscheinungstermin: 1. Juni 1978
• Englisch
• Abmessung: 207mm x 142mm x 7mm
• Gewicht: 159g
• ISBN-13: 9780486636344
• ISBN-10: 0486636348
• Artikelnr.: 22378845

Autorenporträt

Anthony J. Pettofrezzo

Inhaltsangabe

1. Matrices 1.1 Definitions and Elementary Properties 1.2 Matrix
Multiplication 1.3 Diagonal Matrices 1.4 Special Real Matrices 1.5 Special
Complex Matrices 2. Inverse and Systems of Matrices 2.1 Determinants 2.2
Inverse of a Matrix 2.3 Systems of Matrices 2.4 Rank of a Matrix 2.5
Systems of Linear Equations 3. Transformation of the Plane 3.1 Mappings 3.2
Rotations 3.3 Reflections, Dilations, and Magnifications 3.4 Other
Transformations 3.5 Linear Homogeneous Transformations 3.6 Orthogonal
Matrices 3.7 Translations 3.8 Rigid Motion Transformations 4. Eigenvalues
and Eigenvectors 4.1 Characteristic Functions 4.2 A Geometric Interpretaion
of Eigenvectors 4.3 Some Theorems 4.4 Diagonalization of Matrices 4.5 The
Hamilton-Cayley Theorem 4.6 Quadratic Forms 4.7 Classification of the
Conics 4.8 Invariants for Conics Bibliography; Answers to Odd-Numbered
Exercises; Index