Matrices and transformations / Anthony J. Pettofrezzo.
By: Pettofrezzo, Anthony Joseph.
Material type: BookPublisher: New York : London : Dover Publications [etc.], Constable, 1978Description: iii-x, 133 p. : ill ; 21 cm. + pbk.ISBN: 0486636348 .Subject(s): Algebras, LinearDDC classification: 512.943Item type | Current library | Call number | Copy number | Status | Date due | Barcode | Item holds |
---|---|---|---|---|---|---|---|
General Lending | MTU Bishopstown Library Store Item | 512.943 (Browse shelf(Opens below)) | 1 | Available | 00039071 | ||
General Lending | MTU Bishopstown Library Lending | 512.943 (Browse shelf(Opens below)) | 1 | Available | 00039072 |
Browsing MTU Bishopstown Library shelves, Shelving location: Lending Close shelf browser (Hides shelf browser)
Enhanced descriptions from Syndetics:
This text stresses the use of matrices in study of transformations of the plane. Familiarizes reader with role of matrices in abstract algebraic systems and illustrates its effective use as mathematical tool in geometry. Includes proofs of most theorems. Answers to odd-numbered exercises.
With answers to odd-numbered exercises.
Bibliography: (pages 112-113) and index.
Matrices -- Inverses and systems of matrices -- Transformations of the plane -- Eigenvalues and eigenvectors.
Table of contents provided by Syndetics
- 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