Elementary Linear Algebra Howard Anton Copyright © 2010 by John Wiley & Sons, Inc. All rights reserved. Chapter 10

Chapter 10 Applications of Linear Algebra 10.1 Constructing Curves and Surfaces Through Specified Points 10.2 Geometric Linear Programming 10.3 The Earliest Applications of Linear Algebra 10.4 Cubic Spline Interpolation 10.5 Markov Chains 10.6 Graph Theory 10.7 Games of Strategy 10.8 Leontief Economic Models 10.9 Forest Management Computer Graphics

More Applications Equilibrium Temperature Distributions Computed Tomography Fractals Chaos Cryptography Genetics Age-Specific Population Growth Harvesting of Animal Populations A Least Squares Model for Human Hearing Warps and Morphs

Section 10.1 Constructing Curves and Surfaces Through Specified Points Finding the equation of a line between two points:

A conic section through 5 points

Section 10.2 Geometric Linear Programming

Section 10.3 The Earliest Applications of Linear Algebra

Section 10.4 Cubic Spline Interpolation

Section 10.5 Markov Chains

A regular transition matrix

Section 10.6 Graph Theory

Dominance and Power

Section 10.7 Games of Strategy A two-person zero-sum matrix game

Optimal Strategies

Section 10.8 Leontief Economic Models

Productive Consumptive Matrix

Section 10.9 Forest Management

Forest Management

Optimal Sustainable Yield

Section Computer Graphics

Section Equilibrium Temperature Distributions

Discrete Mean Value Property

Monte Carlo Technique: A Random Walk

Section Computed Tomography

Orthogonal Projection Formula

Section Fractals Serpinski Carpet Serpinski Triangle

The Hausdorff Dimension

Fractals Fractals Serpinski Carpet Serpinski Triangle

Section Chaos

Section Cryptography Substitution ciphers:

Ciphering via Matrices GTNKGKDUSK becomes STRIKE NOW

Section Genetics Autosomal Inheritance

X linked Inheritance

Section Age-Specific Population Growth Leslie model describing female population growth

Section Harvesting of Animal Populations

Optimal Sustainable Yield

Section A Least Squares Model for Human Hearing

Least Squares Approximation to a Sound Wave

Minimizing error on [0, 2 π]

Minimizing error on [0,T]

Section Warps and Morphs Triangulation and Warps

Time Varying Morphs