Product Description

CliffsQuickReview course guides cover the essentials of your toughest classes. Get a firm grip on core concepts and key material, and approach your exams with newfound confidence.

CliffsQuickReview Linear Algebra demystifies the topic with straightforward explanations of the fundamentals. This comprehensive guide begins with a close look at vector algebra (including position vectors, the cross product, and the triangle inequality) and matrix algebra (including square matrices, matrix addition, and identity matrices). Once you have those subjects nailed down, you′ll be ready to take on topics such as

• Linear systems, including Gaussian elimination and elementary row operations
• Real Euclidean vector spaces, including the nullspace of a matrix, projection into a subspace, and the Rank Plus Nullity Theorem
• The determinant, including definitions, methods, and Cramer’s Rule
• Linear transformations, including basis vectors, standard matrix, kernal and range, and composition
• Eigenvalues and Eigenvectors, including definitions and illustrations, Eigenspaces, and diagonalization

CliffsQuickReview Linear Algebra acts as a supplement to your textbook and to classroom lectures. Use this reference in any way that fits your personal style for study and review — the information is clearly arranged and offered in manageable units. Here are just a few of the features you’ll find in this guide:

• A review of core concepts
• Clear diagrams and loads of formulas
• Easy to understand definitions and explanations
• Plenty of examples and detailed solutions

With titles available for all the most popular high school and college courses, CliffsQuickReview guides are a comprehensive resource that can help you get the best possible grades.

Product Details

• Amazon Sales Rank: #733111 in Books
• Published on: 1996-04-17
• Original language: English
• Number of items: 1
• Binding: Paperback
• 328 pages

From the Back Cover
Cliffs Quick Reviews are Produced by The People Who Know Student Needs and Respond to Them. This logically presented, easy–to–grasp review gives you the reference you want to effectively organize your introductory–level course work. Each Review Gives You

• a concise but comprehensive source of ready information on the fundamentals of the subject
• clearly arranged and accessible basic course notes in manageable units and straightforward language
• practical help in checking your understanding of material presented in your classes
• the expertise of an accomplished teacher as your private tutor
• an excellent way to review core concepts before quizzes, midterms, and finals

Customer Reviews

Excellent and reasonably comprehensive introduction to basic linear algebra for the self-motivated student
This book is an excellent introduction or review of linear algebra. It presents the most important aspects of basic linear algebra quickly, concisely, and accurately. It begins with concepts from vector and matrix algebra and continues through 318 pages to end with Eigenvalues and Eigenvectors. It presents a concept, e.g., linear independence, and then provides at least one example illustrating the concept. After a short discussion of each new concept, a fully-worked example is provided. Pages frequently appear with multiple examples.

There are no exercises with answers for the student to check their comprehension. You can instead use the examples as exercises, which works quite well since the examples are fully worked out. However, you must bring your own motivation to this Quick Review. Although the work is over 300 pages it presents "just the facts" and spends essentially no time building motivation or interest. Highly recommended, but only for the self-motivated reader.