MTU Cork Library Catalogue

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Matrices and transformations / Anthony J. Pettofrezzo.

By: Pettofrezzo, Anthony Joseph.
Material type: materialTypeLabelBookPublisher: New York : London : Dover Publications [etc.], Constable, 1978Description: iii-x, 133 p. : ill ; 21 cm. + pbk.ISBN: 0486636348 .Subject(s): Algebras, LinearDDC classification: 512.943
Contents:
Matrices -- Inverses and systems of matrices -- Transformations of the plane -- Eigenvalues and eigenvectors.
Holdings
Item 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
Total holds: 0

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

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