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Linear Algebra Quick Study Guide

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Linear Algebra Quick Study Guide
Version: 1.0

Platforms: Symbian OS, Series 60, Series 80, Series 90, UIQ


Categories: Science & Education

Upload date: 16 Sep 10

Developer: MobileReference

License: Shareware

Price: 19.99 $

Downloads: 385
File Size: 238 Kb


Download Free Trial of Linear Algebra Quick Study Guide 



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Linear Algebra Quick Study Guide-

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


 
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If you got an error while installing Themes, Software or Games, please, read FAQ.
Requirements: Mobipocket Reader Symbian
 

Supported operating systems: S60 1st Edition, S60 2nd Edition, S60 3rd Edition, S60 3rd Edition FP1, S60 3rd Edition FP2, S60 5th Edition, S80 6.0, S80 7.0, S90 7.0, UIQ 2.0, UIQ 3.0, UIQ 3.1
 
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