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by Schaum and Richard Bronson

Edition: 89Copyright: 1989

Publisher: McGraw-Hill Publishing Company

Published: 1989

International: No

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*Schaum's Outline of Matrix Operations Theory* is a modern version of the successful *Schaum's Outline of Matrices* by Ayres. It includes numerical methods of obtaining eigenvalues and for solving sets of linear equations, generalized eigenvectors, matrix norms, functions of matrices, and pseudoinverses. Over the last twenty years, matrix methodology has changed greatly to take advantage of the computer and this Outline will reflect those advances. 363 Solved Problems are included. Additionally, this book includes hundreds of supplementary problems.

*Schaum's Outlines* contains the worked-out solutions to hundreds of problems covered in any college course. This guide covers key concepts in ,Basic Operations , Simultaneous Linear Equations , Square Matrices , Matrix Inversion , Determinants , Vectors , Eigenvalues and Eigenvectors , Functions of Matrices , Canonical Bases , Similarity , Inner Products , Norms , Hermitian Matrices , Positive Definite Matrices , Unitary Transformations , Quadratic Forms and Congruence , Nonnegative Matrices , Patterned Matrices , Power Methods for Locating Real Eigenvalues , The QR Algorithm , Generalized Inverses , and Answers to Supplementary Problems

Basic Operations.

Simultaneous Linear Equations.

Square Matrices.

Matrix Inversion.

Determinants.

Vectors.

Eigenvalues and Eigenvectors.

Functions of Matrices.

Canonical Bases.

Similarity.

Inner Products.

Norms.

Hermitian Matrices.

Positive Definite Matrices.

Unitary Transformations.

Quadratic Forms and Congruence.

Nonnegative Matrices.

Patterned Matrices.

Power Methods for Locating Real Eigenvalues.

The OR Algorithm.

Generalized Inverses.

Summary

*Schaum's Outline of Matrix Operations Theory* is a modern version of the successful *Schaum's Outline of Matrices* by Ayres. It includes numerical methods of obtaining eigenvalues and for solving sets of linear equations, generalized eigenvectors, matrix norms, functions of matrices, and pseudoinverses. Over the last twenty years, matrix methodology has changed greatly to take advantage of the computer and this Outline will reflect those advances. 363 Solved Problems are included. Additionally, this book includes hundreds of supplementary problems.

*Schaum's Outlines* contains the worked-out solutions to hundreds of problems covered in any college course. This guide covers key concepts in ,Basic Operations , Simultaneous Linear Equations , Square Matrices , Matrix Inversion , Determinants , Vectors , Eigenvalues and Eigenvectors , Functions of Matrices , Canonical Bases , Similarity , Inner Products , Norms , Hermitian Matrices , Positive Definite Matrices , Unitary Transformations , Quadratic Forms and Congruence , Nonnegative Matrices , Patterned Matrices , Power Methods for Locating Real Eigenvalues , The QR Algorithm , Generalized Inverses , and Answers to Supplementary Problems

Table of Contents

Basic Operations.

Simultaneous Linear Equations.

Square Matrices.

Matrix Inversion.

Determinants.

Vectors.

Eigenvalues and Eigenvectors.

Functions of Matrices.

Canonical Bases.

Similarity.

Inner Products.

Norms.

Hermitian Matrices.

Positive Definite Matrices.

Unitary Transformations.

Quadratic Forms and Congruence.

Nonnegative Matrices.

Patterned Matrices.

Power Methods for Locating Real Eigenvalues.

The OR Algorithm.

Generalized Inverses.

Publisher Info

Publisher: McGraw-Hill Publishing Company

Published: 1989

International: No

Published: 1989

International: No

*Schaum's Outline of Matrix Operations Theory* is a modern version of the successful *Schaum's Outline of Matrices* by Ayres. It includes numerical methods of obtaining eigenvalues and for solving sets of linear equations, generalized eigenvectors, matrix norms, functions of matrices, and pseudoinverses. Over the last twenty years, matrix methodology has changed greatly to take advantage of the computer and this Outline will reflect those advances. 363 Solved Problems are included. Additionally, this book includes hundreds of supplementary problems.

*Schaum's Outlines* contains the worked-out solutions to hundreds of problems covered in any college course. This guide covers key concepts in ,Basic Operations , Simultaneous Linear Equations , Square Matrices , Matrix Inversion , Determinants , Vectors , Eigenvalues and Eigenvectors , Functions of Matrices , Canonical Bases , Similarity , Inner Products , Norms , Hermitian Matrices , Positive Definite Matrices , Unitary Transformations , Quadratic Forms and Congruence , Nonnegative Matrices , Patterned Matrices , Power Methods for Locating Real Eigenvalues , The QR Algorithm , Generalized Inverses , and Answers to Supplementary Problems

Simultaneous Linear Equations.

Square Matrices.

Matrix Inversion.

Determinants.

Vectors.

Eigenvalues and Eigenvectors.

Functions of Matrices.

Canonical Bases.

Similarity.

Inner Products.

Norms.

Hermitian Matrices.

Positive Definite Matrices.

Unitary Transformations.

Quadratic Forms and Congruence.

Nonnegative Matrices.

Patterned Matrices.

Power Methods for Locating Real Eigenvalues.

The OR Algorithm.

Generalized Inverses.