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Schaum's Outline of Theory and Problems of Matrix Operations
 
 
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Schaum's Outline of Theory and Problems of Matrix Operations [Paperback]

Richard Bronson (Author)
4.5 out of 5 stars  See all reviews (10 customer reviews)


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Schaum's Outline of Matrix Operations (Schaum's Outline Series) Schaum's Outline of Matrix Operations (Schaum's Outline Series)
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Book Description

0070079781 978-0070079786 July 1, 1988 1

Confusing Textbooks? Missed Lectures? Not Enough Time?

Fortunately for you, there's Schaum's.

More than 40 million students have trusted Schaum's Outlines to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. In Schaum's foreign language outlines, you'll get hundreds of examples, helpful usage explanations, and practice exercises to test your skills.

Fully compatible with your classroom text, Schaum's highlights all the important facts you need to know. Use Schaum's to shorten your study time-and get your best test scores!

Schaum's Outlines-Problem Solved.



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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: 11 x 8.2 x 0.7 inches
  • Shipping Weight: 15.5 ounces
  • Average Customer Review: 4.5 out of 5 stars  See all reviews (10 customer reviews)
  • Amazon Best Sellers Rank: #544,536 in Books (See Top 100 in Books)

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25 of 25 people found the following review helpful:
5.0 out of 5 stars Excellent guide to matrix techniques, December 3, 2005
This review is from: Schaum's Outline of Theory and Problems of Matrix Operations (Paperback)
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.
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19 of 20 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 review is from: Schaum's Outline of Theory and Problems of Matrix Operations (Paperback)
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.
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12 of 13 people found the following review helpful:
4.0 out of 5 stars Got matrix problems?, August 27, 2002
This review is from: Schaum's Outline of Theory and Problems of Matrix Operations (Paperback)
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.

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Inside This Book (learn more)
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
modified power method, shifted inverse power method, absolute value appearing, independent eigenvectors for the matrix, elementary reflector, first nonzero element, left partition, generalized eigenvector, modal matrix, augmented matrix, independent column vectors, elementary matrices, elementary row operations, partitioned matrix, circulant matrix, canonical basis, inertia matrix, band matrix, right partition, orthogonalization process, minimum polynomial, normal matrices, elementary matrix
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Solved Problems, Supplementary Problems, Prove Property, Iteration Eigenvector, Using Steps, Verify Property, Applying the Gram-Schmidt, Find the Cholesky, The Maclaurin, Verify the Cayley-Hamilton
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