Schaum's Outline of Theory and Problems of Matrix Operations (Paperback)

by Richard Bronson (Author)
Key Phrases: modified power method, shifted inverse power method, absolute value appearing, Solved Problems, Supplementary Problems, Prove Property (more...)

Editorial Reviews

Product Description
If you want top grades and thorough understanding of matrix operations, this powerful study tool is the best tutor you can have! It takes you step-by-step through the subject and gives you 363 accompanying related problems with fully worked solutions. You also get plenty of practice problems to do on your own, working at your own speed. (Answers at the back show you how you're doing.) Famous for their clarity, wealth of illustrations and examples, and lack of dreary minutiae, Schaum's Outlines have sold more than 30 million copies worldwide--and this guide will show you why!

From the Back Cover
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

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Product Details

• Paperback: 230 pages
• Publisher: McGraw-Hill; 1 edition (July 1, 1988)
• Language: English
• ISBN-10: 0070079781
• ISBN-13: 978-0070079786
• Product Dimensions: 10.9 x 8 x 0.5 inches
• Shipping Weight: 15.5 ounces (View shipping rates and policies)
• Average Customer Review: 4.5 out of 5 stars See all reviews (8 customer reviews)
• Amazon.com Sales Rank: #59,595 in Books (See Bestsellers in Books)

  Popular in these categories: (What's this?)

  #3 in	Books > Science > Mathematics > Matrices
  #12 in	Books > Science > Mathematics > Pure Mathematics > Algebra > Linear
  #13 in	Books > Professional & Technical > Professional Science > Mathematics > Pure Mathematics > Algebra > Linear

Customer Reviews

Most Helpful Customer Reviews

16 of 16 people found the following review helpful:

5.0 out of 5 stars Excellent guide to matrix techniques, December 3, 2005

By	calvinnme "Texan refugee" (Fredericksburg, Va) - See all my reviews (TOP 10 REVIEWER)

Unlike the Schaum's outline of linear algebra, which is more about the physical interpretation of matrices as vectors, this Schaum's outline is good for learning techniques of solutions that were meant for large matrices. It is aimed at the applied mathematician, since there are not very many proofs as exercises. Instead, the user is taught the various algorithms used to solve matrix problems. The guide starts with very basic operations such as matrix addition, subtraction, and dot products. It then moves on to methods of solution for finding the determinant, eigenvalues and eigenvectors, and the functions of a matrix. What I particularly like about this guide is that in its more advanced section it shows in plain language how to implement singular value decomposition, the QR algorithm to compute eigenvalues, vector norms, LU decomposition, and other more advanced methods of solution that are not mentioned in basic linear algebra texts and are overloaded with theory in more advanced texts that lack practical examples. This book is an excellent companion to texts such as Trefethen and Bau's "Numerical Linear Algebra", since that book is short on worked examples and concentrates more on theory. The format of this guide is the same of most other Schaum's outlines- for each topic there are a few pages on motivation and the algorithms themselves, a section of worked problems, and a section of more problems with answers but not with complete solutions.

18 of 19 people found the following review helpful:

4.0 out of 5 stars Clear, easy to understand tutorial on Matrices, October 18, 1997

By A Customer

This is a very nice book that covers a everything one needs to know about matrices, without the extra derivations and confusion associated with this math. Very nice examples are included in the book that show the use of matrices.

9 of 10 people found the following review helpful:

4.0 out of 5 stars Got matrix problems?, August 27, 2002

By	Jeffrey Leeper "kem2070" (Seattle, WA USA) - See all my reviews (TOP 1000 REVIEWER)    (REAL NAME)

If you do, this book is very helpful in that it gives a step-by-step approach to solving matrix operations problems. Although I wouldn't use this book by itself, I would recommend getting this to supplement the class. If you have already taken the class, then this is a good refresher or reference for you.

The topics covered are inversions, determinants, vectors, eigenvalues and eigenvectors, functions, square matrices, hermitian and positive definite matrices, canonical bases, unitary transformations, and nonnegative and patterned matrices, among other topics. As with other books in the Schaum's series, there are supplementary questions to test your knowledge and understanding. Most of the answers are in the back.