Matrix Operations
Theory and Problems
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This invaluable study guide, requiring only a working knowledge of high school algebra, takes an algorithmic approach to matrix operations. More complicated procedures are given as a series of steps which may be coded easily for computer implementation. The emphasis throughout is on the computational methods that prove most efficient.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 Defin...
This invaluable study guide, requiring only a working knowledge of high school algebra, takes an algorithmic approach to matrix operations. More complicated procedures are given as a series of steps which may be coded easily for computer implementation. The emphasis throughout is on the computational methods that prove most efficient.
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.
Master matrix operations with Schaum'sthe high-performance study guide. It will help you cut study time, hone problem-solving skills, and achieve your personal best on exams! Students love Schaum's Outlines because they produce results. Each year, hundreds of thousands of students improve their test scores and final grades with these indispensable study guides. Get the edge on your classmates. Use Schaum's! If you don't have a lot of time but want to excel in class, this book helps you: Brush up before tests Find answers fast Study quickly and more effectively Get the big picture without spending hours pouring over lengthy textbooks Schaum's Outlines give you the information teachers expect you to know in a handy and succinct formatwithout overwhelming you with unnecessary details. You get a complete overview of the subject. Plus, you get plenty of practice exercises to test your skill. Compatible with any classroom text, Schaum's lets you study at your own pace and reminds you of all the important facts you need to rememberfast! And Schaum's are so complete, they're perfect for preparing for graduate or professional exams. Inside, you will find: 363 detailed problems with step-by-step solutions Clear, concise explanations of matrix operations Help with Eigenvalues and the QR Algorithm A solved-problem approach that teaches you with hands-on help Exercises for improving your problem-solving skills If you want top grades and a thorough understanding of matrix operations, this powerful study tool is the best tutor you can have! Chapters include: 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 Answers to Supplementary Problems
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.
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.
Master matrix operations with Schaum'sthe high-performance study guide. It will help you cut study time, hone problem-solving skills, and achieve your personal best on exams! Students love Schaum's Outlines because they produce results. Each year, hundreds of thousands of students improve their test scores and final grades with these indispensable study guides. Get the edge on your classmates. Use Schaum's! If you don't have a lot of time but want to excel in class, this book helps you: Brush up before tests Find answers fast Study quickly and more effectively Get the big picture without spending hours pouring over lengthy textbooks Schaum's Outlines give you the information teachers expect you to know in a handy and succinct formatwithout overwhelming you with unnecessary details. You get a complete overview of the subject. Plus, you get plenty of practice exercises to test your skill. Compatible with any classroom text, Schaum's lets you study at your own pace and reminds you of all the important facts you need to rememberfast! And Schaum's are so complete, they're perfect for preparing for graduate or professional exams. Inside, you will find: 363 detailed problems with step-by-step solutions Clear, concise explanations of matrix operations Help with Eigenvalues and the QR Algorithm A solved-problem approach that teaches you with hands-on help Exercises for improving your problem-solving skills If you want top grades and a thorough understanding of matrix operations, this powerful study tool is the best tutor you can have! Chapters include: 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 Answers to Supplementary Problems
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.