Linear Algebra Quick Study Guide - FREE chapters on Linear Equations, Determinant, more in the trial for Palm OS

About Linear Algebra Quick Study Guide - FREE chapters on Linear Equations, Determinant, more in the trial

Boost Your grades with this illustrated quick-study guide. You will use it from college to graduate school and beyond. FREE chapters on Linear Equations, Determinant, and more in the trial version.Features

• Clear and concise explanations
• Difficult concepts are explained in simple terms
• Illustrated with graphs and diagrams

Table of Contents I. Linear equations

• System of linear equations
• Determinant
  • Minor
  • Cauchy-Binet formula
• Cramer's rule
• Gaussian elimination
• Gauss-Jordan elimination
• Strassen algorithm

II. Matrices

• Matrix addition
• Matrix multiplication
• Basis transformation matrix
• Characteristic polynomial, Characteristic Equation
• Trace
• Eigenvalue, eigenvector and eigenspace
  • Cayley-Hamilton theorem
  • Spread of a matrix
  • Symbolic Computation of Matrix Eigenvalues
• Jordan normal form
• Rank
• Matrix inversion,
  • Pseudoinverse
• Adjugate
• Transpose
  • Dot product
  • Symmetric matrix
  • Matrix congruence
    • Congruence relation
  • Orthogonal matrix
  • Skew-symmetric matrix
  • Conjugate transpose
    • Unitary matrix
    • Hermitian matrix, Antihermitian
• Positive definite: matrix, function, bilinear form
• Identity matrix
• Pfaffian
• Projection
• Diagonal matrix, main diagonal
  • Diagonalizable matrix
• Similar matrix
• Tridiagonal matrix
• Hessenberg matrix
• Triangular matrix
• Spectral theorem
• Stochastic matrix
• Toeplitz matrix
  • Circulant matrix
• Hankel matrix
• Vandermonde matrix
• Block matrix
• (0,1)-matrix
• Normal Matrix
• Sparse matrix
• Woodbury matrix identity
• Perron-Frobenius theorem
• List of Matrices

III. Matrix decompositions

• Block LU Decomposition
• Cholesky decomposition
• LU decomposition
• QR decomposition
• Spectral theorem
• Singular value decomposition
• Schur decomposition
  • Schur complement

IV. Computations

• Transformation Matrix
• Householder transformation
• Least squares, linear least squares
• Gram-Schmidt process

V. Vectors

• Unit Vector
• Pseudovector
• Normal Vector
• Tangential and Normal Components
• Scalar multiplication
• Linear combination
• Linear span
• Linear independence
• Basis

VI. Vector spaces

• Basis=Hamel basis
• Dimension theorem for vector spaces=Hamel dimension
• Examples of vector spaces
• Linear map
  • Galilean transformation, Lorentz transformation
• Row and Column space
• Null space
• Rank-nullity theorem
• Dual space
  • Linear function
  • Linear functional
• Orthogonality
• Orthogonal complement
• Orthogonal projection
• Improper rotation
• Category of vector spaces
• Subspace
• Linear Subspace
• Normed vector space
• Inner product space

VII. Affine space

• Affine transformation
• Affine group

 Download more titles from MobileReference:TRAVEL GUIDES, MAPS, AND PHRASEBOOKS:
America: New York, Boston, Chicago, Honolulu, Las Vegas, Los Angeles , Miami, Montreal, San Francisco, Washington, DC, US Cities and National Parks Collection, and more
Europe and Asia: FREE 20 Language Phrasebook, London, Rome, Amsterdam, Barcelona, Berlin, Dresden, Florence, Greece, Israel, Munich, Paris and Louvre, Portugal, Prague, Venice, Vienna, Zurich, European Cities Collection, and more
US National Parks: Acadia, Cuyahoga Valley, Grand Canyon, Grand Teton, Great Smoky Mountains, Mammoth Cave, Olympic, Sequoia, Yellowstone, Yosemite, Zion NP and more...
All major cities and national parks. All guides are illustrated with maps and photographs. FREE General Information chapter, basic phrasebook, and a map in each trial version. Search keyword - MobileReference.MEDICINE: Human Anatomy and Physiology, Human Nervous System, Neurophysiology, Neurochemistry , Psychology, Chemistry, Biochemistry, Cell Biology, Organic Chemistry, Pharmacology, Medical Abbreviations and Terminology, Acupressure Guide, Nutrition, Nursing and Physical Assessment, Medical Guides Collection and many more...
Boost Your Grades with a personal tutor on Your handheld – download MobileReference Quick Study Guides to your mobile device. FREE first chapter in each Quick-Study Guide. Search keyword - MobileReference.HEALTH: FREE Hangover Remedy, Acupressure Guide, First Aid Guide, Office Yoga, Sitting Yoga, Headache Remedy, Asthma Care, Diabetes Care, Headache and Migraine Care and many more...
Download Software for Health from SoundTells to Your handheld: Blood Pressure Tracker, Glucose Tracker, Weight Tracker, Calorie Burner - Diet and Exercise Planner, Office Yoga, Fertility Calendar, and many more... Search keyword SoundTellsSCIENCE: FREE Periodic Table of Elements, Human Anatomy and Physiology, Cell Biology, Chemistry, Organic Chemistry , Biochemistry, Human Nervous System, Neurophysiology, Neurochemistry, Psychology, Statistics, and many more... FREE first chapter in each Quick-Study Guide. Search keyword - MobileReference.HISTORY: Art History Guide, Greek and Roman Mythology, World Religions, U.S. History , European History, American Presidents, Kings and Queens of England, 100 Most Influential People of All Times, History Books Collection, and more... Search keyword - MobileReference.RELIGION: The King James Bible, The World English Bible (Modern Translation), The Holy Bible (American Standard Version), World Religions Study Guide, and more... Search keyword - MobileReference.HOBBIES AND GAMES: Cookbook, Cocktails and Drinking Games, Feng Shui, Chinese Astrology, Chess Guide, Art of Love, and many more... Search keyword - MobileReference.