The Linear Algebra Survival Guide: Illustrated with Mathematica
Fred Szabo
Language: English
Pages: 438
ISBN: 0124095208
Format: PDF / Kindle (mobi) / ePub
The Linear Algebra Survival Guide offers a concise introduction to the difficult core topics of linear algebra, guiding you through the powerful graphic displays and visualization of Mathematica that make the most abstract theories seem simple - allowing you to tackle realistic problems using simple mathematical manipulations. This resource is therefore a guide to learning the content of Mathematica in a practical way, enabling you to manipulate potential solutions/outcomes, and learn creatively. No starting knowledge of the Mathematica system is required to use the book. Desktop, laptop, web-based versions of Mathematica are available on all major platforms. Mathematica Online for tablet and smartphone systems are also under development and increases the reach of the guide as a general reference, teaching and learning tool.
- Includes computational oriented information that complements the essential topics in linear algebra.
- Presents core topics in a simple, straightforward way with examples for exploring computational illustrations, graphics, and displays using Mathematica.
- Provides numerous examples of short code in the text, which can be modified for use with exercises to develop graphics displays for teaching, learning, and demonstrations.
Quelques Questions D'algèbre Géométrie Et Probabilités
Inside Calculus (Undergraduate Texts in Mathematics)
Counterexamples in Topology (Dover Books on Mathematics)
Numerical Methods in Engineering with Python
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examples are usually illustrated in two, three, and four dimensions, if there is no loss of generality. The organization of the material follows both a conceptual and an alphabetic path, whichever is most appropriate for the flow of ideas and the coherence of the presentation. All linear algebra concepts covered in this book are explained and illustrated with Mathematica calculations, examples, and additional manipulations. The Mathematica code used is complete and can serve as a basis for
dependence and independence, and orthogonality. Mathematica provides comprehensive tools for studying linear algebra from this point of view. Mathematica The building blocks of this book are scalars (real and complex numbers), vectors, linear equations, and matrices. Most of the time, the scalars used are integers, playing the notationally simpler role of real numbers. In some places, however, real numbers as decimal expansions are needed. Since real numbers may require infinite decimal
row A = IdentityMatrix[3] {{1, 0, 0}, {0, 1, 0}, {0, 0, 1}} A[[3]] = A[[3]] -− 4 A[[1]] ; A {{1, 0, 0}, {0, 1, 0}, {-−4, 0, 1}} Elementary row operation The elementary row operations on a matrix are the interchange of two rows, the multiplication of a row by a nonzero constant, and the addition of a multiple of a row to another row. Illustration ◼ Interchange of two rows A= 2 6 9 0 1 7 6 7 9 2 1 0 7 2 9 ; MatrixForm[B = {A[[3]] , A[[2]] , A[[1]] }] 1 0 7 2 9 7 6 7 9 2 2 6 9 0 1 ◼
imaginary number ⅈ, can be entered in several ways. The quickest way is to type Esc ii Esc (the Escape key followed by two i’s followed by the Escape key). Similar instructions on inputting special symbols occur in various places in the chapters below. The palettes in the Palettes menu can also be used to input special symbols. Palettes > Basic Math Assistant > Typesetting > ⅈ also inputs the symbol ⅈ. The required equivalent keyboard entry using Esc can be seen by letting the cursor rest on
